Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties

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Publisher : CRC Press
ISBN 13 : 1351166913
Total Pages : 173 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties by : Feyzi Başar

Download or read book Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties written by Feyzi Başar and published by CRC Press. This book was released on 2020-02-04 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other. The book also discusses several geometric properties of summable spaces, as well as dealing with the construction of summable spaces using Orlicz functions, and explores several structural properties of such spaces. Each chapter contains a conclusion section highlighting the importance of results, and points the reader in the direction of possible new ideas for further study. Features Suitable for graduate schools, graduate students, researchers and faculty, and could be used as a key text for special Analysis seminars Investigates different types of summable spaces and computes their duals Characterizes several matrix classes transforming one summable space into other Discusses several geometric properties of summable spaces Examines several possible generalizations of Orlicz sequence spaces

Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties

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Publisher : CRC Press
ISBN 13 : 1351166905
Total Pages : 110 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties by : Feyzi Başar

Download or read book Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties written by Feyzi Başar and published by CRC Press. This book was released on 2020-02-25 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other. The book also discusses several geometric properties of summable spaces, as well as dealing with the construction of summable spaces using Orlicz functions, and explores several structural properties of such spaces. Each chapter contains a conclusion section highlighting the importance of results, and points the reader in the direction of possible new ideas for further study. Features Suitable for graduate schools, graduate students, researchers and faculty, and could be used as a key text for special Analysis seminars Investigates different types of summable spaces and computes their duals Characterizes several matrix classes transforming one summable space into other Discusses several geometric properties of summable spaces Examines several possible generalizations of Orlicz sequence spaces

Double Sequence Spaces and Four-Dimensional Matrices

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Publisher : CRC Press
ISBN 13 : 1000594475
Total Pages : 252 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Double Sequence Spaces and Four-Dimensional Matrices by : Feyzi Başar

Download or read book Double Sequence Spaces and Four-Dimensional Matrices written by Feyzi Başar and published by CRC Press. This book was released on 2022-04-22 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Double Sequence Spaces and Four-Dimensional Matrices provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties. The book then goes beyond this to investigate paranormed double sequence spaces and their algebraic and topological properties, triangle matrices and their domains in certain spaces of double sequences, dual spaces of double sequence spaces, and matrix transformations between double sequence spaces and related topics. Each chapter contains a conclusion section highlighting the importance of results and pointing out possible new ideas that can be studied further. Features Suitable for students at graduate or post-graduate level and researchers Investigates different types of summable spaces and computes their duals Characterizes several four-dimensional matrix classes transforming one summable space into other Discusses several algebraic and topological properties of new sequence spaces generated by the domain of triangles.

Double Sequence Spaces and Four-Dimensional Matrices

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Publisher : C&h/CRC Press
ISBN 13 : 9781032259499
Total Pages : pages
Book Rating : 4.2/5 (594 download)

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Book Synopsis Double Sequence Spaces and Four-Dimensional Matrices by : Feyzi Başar

Download or read book Double Sequence Spaces and Four-Dimensional Matrices written by Feyzi Başar and published by C&h/CRC Press. This book was released on 2022 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Double Sequence Spaces and Four-Dimensional Matrices provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties. The book then goes beyond this to investigate paranormed double sequence spaces and their algebraic and topological properties, triangle matrices and their domains in certain spaces of double sequences, dual spaces of double sequence spaces, and matrix transformations between double sequence spaces and related topics. Each chapter contains a conclusion section highlighting the importance of results and pointing out possible new ideas that can be studied further. Features: Suitable for students at graduate or post-graduate level and researchers; Investigates different types of summable spaces and computes their duals; Characterizes several four-dimensional matrix classes transforming one summable space into other; Discusses several algebraic and topological properties of new sequence spaces generated by the domain of triangles"--

Summability Theory and Its Applications

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Publisher : CRC Press
ISBN 13 : 1000599140
Total Pages : 521 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Summability Theory and Its Applications by : Feyzi Başar

Download or read book Summability Theory and Its Applications written by Feyzi Başar and published by CRC Press. This book was released on 2022-06-27 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner. The content can readily serve as a reference or as a useful series of lecture notes on the subject. This substantially revised new edition includes brand new material across several chapters as well as several corrections, including: the addition of the domain of Cesaro matrix C(m) of order m in the classical sequence spaces to Chapter 4; and introducing the domain of four-dimensional binomial matrix in the spaces of bounded, convergent in the Pringsheim's sense, both convergent in the Pringsheim's sense and bounded, and regularly convergent double sequences, in Chapter 7. Features Investigates different types of summable spaces and computes their dual Suitable for graduate students and researchers with a (special) interest in spaces of single and double sequences, matrix transformations and domains of triangle matrices Can serve as a reference or as supplementary reading in a computational physics course, or as a key text for special Analysis seminars.

Banach Limit and Applications

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Publisher : CRC Press
ISBN 13 : 1000467627
Total Pages : 182 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Banach Limit and Applications by : Gokulananda Das

Download or read book Banach Limit and Applications written by Gokulananda Das and published by CRC Press. This book was released on 2021-10-25 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banach Limits and Applications provides all the results in the area of Banach limit, its extensions, generalizations and applications to various fields in one go (as far as possible). All the results in this field, after Banach introduced this concept in the year 1932 , are scattered till now. Sublinear functionals generating and dominating Banach Limit, unique Branch Limit (almost convergence), invariant means and invariant limits, absolute and strong almost convergence, applications to ergodicity, law of large number, Fourier series, uniform distribution of sequences, uniform density, core theorems, functional Banach limits are discussed in this book. Discovery of functional analysis such as Hahn-Banach theorem, Banach-Steinhaus Theorem helped the researchers to develop a modern, rich and unified theory of sequence spaces by enveloping classical summability theory via matrix transformation and the topics related to sequence spaces arose from the concept of Banach limit are presented in this book. The unique features of this book are as follows: It contains all the results in this area at one place which are scattered till now. The book is first of its kinds in the sense that there is no other competitive book . The contents of this monograph did not appear in any book form before. The audience of this book are the researchers in this area, the Ph.D. and advanced Masters students. The book is suitable for one or two semester course work for Ph. D. students, M.S. Students of North America and Europe, M. Phil and Masters Students of India.

Morrey Spaces

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Publisher : CRC Press
ISBN 13 : 1000064050
Total Pages : 429 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Morrey Spaces by : Yoshihiro Sawano

Download or read book Morrey Spaces written by Yoshihiro Sawano and published by CRC Press. This book was released on 2020-09-16 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding

Spectral Geometry of Partial Differential Operators

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Publisher : CRC Press
ISBN 13 : 0429780575
Total Pages : 366 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Spectral Geometry of Partial Differential Operators by : Michael Ruzhansky

Download or read book Spectral Geometry of Partial Differential Operators written by Michael Ruzhansky and published by CRC Press. This book was released on 2020-02-07 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type of inequalities of spectral geometry have expanded to many other cases with number of applications in physics and other sciences. The main reason why the results are useful, beyond the intrinsic interest of geometric extremum problems, is that they produce a priori bounds for spectral invariants of (partial differential) operators on arbitrary domains. Features: Collects the ideas underpinning the inequalities of the spectral geometry, in both self-adjoint and non-self-adjoint operator theory, in a way accessible by anyone with a basic level of understanding of linear differential operators Aimed at theoretical as well as applied mathematicians, from a wide range of scientific fields, including acoustics, astronomy, MEMS, and other physical sciences Provides a step-by-step guide to the techniques of non-self-adjoint partial differential operators, and for the applications of such methods. Provides a self-contained coverage of the traditional and modern theories of linear partial differential operators, and does not require a previous background in operator theory.

Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations

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Publisher : CRC Press
ISBN 13 : 0429553196
Total Pages : 503 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations by : Luca Lorenzi

Download or read book Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations written by Luca Lorenzi and published by CRC Press. This book was released on 2021-01-05 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations aims to propose a unified approach to elliptic and parabolic equations with bounded and smooth coefficients. The book will highlight the connections between these equations and the theory of semigroups of operators, while demonstrating how the theory of semigroups represents a powerful tool to analyze general parabolic equations. Features Useful for students and researchers as an introduction to the field of partial differential equations of elliptic and parabolic types Introduces the reader to the theory of operator semigroups as a tool for the analysis of partial differential equations

Tools for Infinite Dimensional Analysis

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Publisher : CRC Press
ISBN 13 : 1000328260
Total Pages : 289 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Tools for Infinite Dimensional Analysis by : Jeremy J. Becnel

Download or read book Tools for Infinite Dimensional Analysis written by Jeremy J. Becnel and published by CRC Press. This book was released on 2020-12-28 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past six decades, several extremely important fields in mathematics have been developed. Among these are Itô calculus, Gaussian measures on Banach spaces, Malliavan calculus, and white noise distribution theory. These subjects have many applications, ranging from finance and economics to physics and biology. Unfortunately, the background information required to conduct research in these subjects presents a tremendous roadblock. The background material primarily stems from an abstract subject known as infinite dimensional topological vector spaces. While this information forms the backdrop for these subjects, the books and papers written about topological vector spaces were never truly written for researchers studying infinite dimensional analysis. Thus, the literature for topological vector spaces is dense and difficult to digest, much of it being written prior to the 1960s. Tools for Infinite Dimensional Analysis aims to address these problems by providing an introduction to the background material for infinite dimensional analysis that is friendly in style and accessible to graduate students and researchers studying the above-mentioned subjects. It will save current and future researchers countless hours and promote research in these areas by removing an obstacle in the path to beginning study in areas of infinite dimensional analysis. Features Focused approach to the subject matter Suitable for graduate students as well as researchers Detailed proofs of primary results

Linear Groups

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Publisher : CRC Press
ISBN 13 : 135100803X
Total Pages : 329 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Linear Groups by : Martyn R. Dixon

Download or read book Linear Groups written by Martyn R. Dixon and published by CRC Press. This book was released on 2020-04-03 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and ideas in the study of infinite-dimensional linear groups. The theory of finite dimensional linear groups is one of the best developed algebraic theories. The array of articles devoted to this topic is enormous, and there are many monographs concerned with matrix groups, ranging from old, classical texts to ones published more recently. However, in the case when the dimension is infinite (and such cases arise quite often), the reality is quite different. The situation with the study of infinite dimensional linear groups is like the situation that has developed in the theory of groups, in the transition from the study of finite groups to the study of infinite groups which appeared about one hundred years ago. It is well known that this transition was extremely efficient and led to the development of a rich and central branch of algebra: Infinite group theory. The hope is that this book can be part of a similar transition in the field of linear groups. Features This is the first book dedicated to infinite-dimensional linear groups This is written for experts and graduate students specializing in algebra and parallel disciplines This book discusses a very new theory and accumulates many important and useful results

Applications of Homogenization Theory to the Study of Mineralized Tissue

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Publisher : CRC Press
ISBN 13 : 0429533241
Total Pages : 192 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Applications of Homogenization Theory to the Study of Mineralized Tissue by : Robert P. Gilbert

Download or read book Applications of Homogenization Theory to the Study of Mineralized Tissue written by Robert P. Gilbert and published by CRC Press. This book was released on 2020-12-29 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures. Applications of Homogenization Theory to the Study of Mineralized Tissue functions as an introduction to the theory of homogenization. At the same time, the book explains how to apply the theory to various application problems in biology, physics and engineering. The authors are experts in the field and collaborated to create this book which is a useful research monograph for applied mathematicians, engineers and geophysicists. As for students and instructors, this book is a well-rounded and comprehensive text on the topic of homogenization for graduate level courses or special mathematics classes. Features: Covers applications in both geophysics and biology. Includes recent results not found in classical books on the topic Focuses on evolutionary kinds of problems; there is little overlap with books dealing with variational methods and T-convergence Includes new results where the G-limits have different structures from the initial operators

Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs

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Publisher : CRC Press
ISBN 13 : 100007899X
Total Pages : 305 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs by : Svetlin Georgiev

Download or read book Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs written by Svetlin Georgiev and published by CRC Press. This book was released on 2020-06-09 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs covers all the basics of the subject of fixed-point theory and its applications with a strong focus on examples, proofs and practical problems, thus making it ideal as course material but also as a reference for self-study. Many problems in science lead to nonlinear equations T x + F x = x posed in some closed convex subset of a Banach space. In particular, ordinary, fractional, partial differential equations and integral equations can be formulated like these abstract equations. It is desirable to develop fixed-point theorems for such equations. In this book, the authors investigate the existence of multiple fixed points for some operators that are of the form T + F, where T is an expansive operator and F is a k-set contraction. This book offers the reader an overview of recent developments of multiple fixed-point theorems and their applications. About the Authors Svetlin G. Georgiev is a mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations and dynamic calculus on time scales. Khaled Zennir is assistant professor at Qassim University, KSA. He received his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. He obtained his Habilitation in mathematics from Constantine University, Algeria in 2015. His research interests lie in nonlinear hyperbolic partial differential equations: global existence, blow up and long-time behavior.

Localized Dynamics of Thin-Walled Shells

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Publisher : CRC Press
ISBN 13 : 1351630687
Total Pages : 220 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Localized Dynamics of Thin-Walled Shells by : Gennadi I. Mikhasev

Download or read book Localized Dynamics of Thin-Walled Shells written by Gennadi I. Mikhasev and published by CRC Press. This book was released on 2020-04-17 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Localized Dynamics of Thin-Walled Shells focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory, in the form of functions which are highly localized near both fixed and moving lines/points on the shell surface. Features First-of-its-kind work, synthesizing knowledge of the localization of vibrations and waves in thin-walled shells with a mathematical tool to study them Suitable for researchers working on the dynamics of thin shells and also as supplementary reading for undergraduates studying asymptotic methods Offers detailed analysis of wave processes in shells with varying geometric and physical parameters

Sequence Spaces

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Publisher : CRC Press
ISBN 13 : 100004517X
Total Pages : 184 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Sequence Spaces by : Mohammad Mursaleen

Download or read book Sequence Spaces written by Mohammad Mursaleen and published by CRC Press. This book was released on 2020-03-10 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at both experts and non-experts with an interest in getting acquainted with sequence spaces, matrix transformations and their applications. It consists of several new results which are part of the recent research on these topics. It provides different points of view in one volume, e.g. their topological properties, geometry and summability, fuzzy valued study and more. This book presents the important role sequences and series play in everyday life, it covers geometry of Banach Sequence Spaces, it discusses the importance of generalized limit, it offers spectrum and fine spectrum of several linear operators and includes fuzzy valued sequences which exhibits the study of sequence spaces in fuzzy settings. This book is the main attraction for those who work in Sequence Spaces, Summability Theory and would also serve as a good source of reference for those involved with any topic of Real or Functional Analysis.

Sequence Spaces and Applications

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Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173192395
Total Pages : 162 pages
Book Rating : 4.1/5 (923 download)

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Book Synopsis Sequence Spaces and Applications by : Pawan K. Jain

Download or read book Sequence Spaces and Applications written by Pawan K. Jain and published by Alpha Science Int'l Ltd.. This book was released on 1999 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains referred articles covering areas in classical as well as modern sequence space theory. The major topics covered are: classical sequence spaces; duals and matrix transformation; structure and topology; and applications. The book should be useful to postgraduates and the researchers working or intending to work in the areas of classical and the modern sequence space theory.

Current Topics in Summability Theory and Applications

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Publisher : Springer
ISBN 13 : 9811009139
Total Pages : 436 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Current Topics in Summability Theory and Applications by : Hemen Dutta

Download or read book Current Topics in Summability Theory and Applications written by Hemen Dutta and published by Springer. This book was released on 2016-04-28 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments in and contemporary research on summability theory, including general summability methods, direct theorems on summability, absolute and strong summability, special methods of summability, functional analytic methods in summability, and related topics and applications. All contributing authors are eminent scientists, researchers and scholars in their respective fields, and hail from around the world. The book can be used as a textbook for graduate and senior undergraduate students, and as a valuable reference guide for researchers and practitioners in the fields of summability theory and functional analysis. Summability theory is generally used in analysis and applied mathematics. It plays an important part in the engineering sciences, and various aspects of the theory have long since been studied by researchers all over the world.