A Study Of Triple Sequence Spaces

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A Study of Triple Sequence Spaces

Author : Vakeel A. Khan -Ayhan Asi -Nagarajan Subramanian -Hira Fatima
Publisher : HOLISTENCE PUBLICATIONS
ISBN 13 : 6257047749
Total Pages : 182 pages
Book Rating : 4.2/5 (57 download)

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Book Synopsis A Study of Triple Sequence Spaces by : Vakeel A. Khan -Ayhan Asi -Nagarajan Subramanian -Hira Fatima

Download or read book A Study of Triple Sequence Spaces written by Vakeel A. Khan -Ayhan Asi -Nagarajan Subramanian -Hira Fatima and published by HOLISTENCE PUBLICATIONS. This book was released on 2021-05-12 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book completely deals with the study of convergence of triple sequences. The concept of convergence is probably the most valuable notion in order to get a limit of a non convergent bounded sequence. There is one more idea of convergence called statistical convergence, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This thought arises as an example of “convergence in density” which is also premeditated as a summability method. Even unbounded sequences can be dealt with by by means of this method. And the other convergence is “Ideal Convergence” which is a generalization of statistical convergence which was introduced first by Kostyrko. The book also discusses the applications of triple sequence in many theories such as fuzzy theory, Gai Convergence. Written in a self-reliant style, the book discusses in feature the methods of statistical convergence and ideal convergence for triple sequences along with applications and appropriate examples. This book is aimed at both experts and non-experts with a concern in getting familiar with sequence spaces and their applications. It consists of numerous new results which are part of the modern research on these topics. It provides different points of view in one volume, e.g. their topological properties and fuzzy valued study and more. This book presents the significant role of series and sequences play in everyday life, it covers a lot of geometry on triple Sequence Spaces, it discusses the significance of generalized limit, it offers variety and well spectrum of numerous linear operators and includes fuzzy valued sequences which exhibits the study of sequence spaces in fuzzy settings. This book is the main desirability for those who work in Triple Sequence Spaces and would also provide as a good cause of suggestion for those involved with any topic of Functional Analysis.

Sequence Space Theory with Applications

Author : S. A. Mohiuddine
Publisher : CRC Press
ISBN 13 : 1000610047
Total Pages : 307 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Sequence Space Theory with Applications by : S. A. Mohiuddine

Download or read book Sequence Space Theory with Applications written by S. A. Mohiuddine and published by CRC Press. This book was released on 2022-07-20 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book features original chapters on sequence spaces involving the idea of ideal convergence, modulus function, multiplier sequences, Riesz mean, Fibonacci difference matrix etc., and illustrate their involvement in various applications. The preliminaries have been presented in the beginning of each chapter and then the advanced discussion takes place, so it is useful for both expert and nonexpert on aforesaid topics. The book consists of original thirteen research chapters contributed by the well-recognized researchers in the field of sequence spaces with associated applications. Features Discusses the Fibonacci and vector valued difference sequence spaces Presents the solution of Volterra integral equation in Banach algebra Discusses some sequence spaces involving invariant mean and related to the domain of Jordan totient matrix Presents the Tauberian theorems of double sequences Discusses the paranormed Riesz difference sequence space of fractional order Includes a technique for studying the existence of solutions of infinite system of functional integro-differential equations in Banach sequence spaces The subject of book is an active area of research of present time internationally and would serve as a good source for researcher and educators involved with the topic of sequence spaces.

Sequence Spaces and Applications

Author : Pawan K. Jain
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.

Sequence Spaces

Author : Mohammad Mursaleen
Publisher : CRC Press
ISBN 13 : 1000045153
Total Pages : 313 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 313 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

Author : William H. Ruckle
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Sequence Spaces by : William H. Ruckle

Download or read book Sequence Spaces written by William H. Ruckle and published by Pitman Publishing. This book was released on 1981 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction, basic properties; Kothe sequences spaces; Topologies on sequences spaces; Mappings between sequences spaces; Topics from summability theory.

Advances in Mathematical Analysis and its Applications

Author : Bipan Hazarika
Publisher : CRC Press
ISBN 13 : 100082439X
Total Pages : 358 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Advances in Mathematical Analysis and its Applications by : Bipan Hazarika

Download or read book Advances in Mathematical Analysis and its Applications written by Bipan Hazarika and published by CRC Press. This book was released on 2022-12-12 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mathematical Analysis and its Applications is designed as a reference text and explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. It discusses theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some topics are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. Features: The book encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. It offers an understanding of research problems by presenting the necessary developments in reasonable details The book also discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems Contains applications on wavelets analysis and COVID-19 to show that mathematical analysis has interdisciplinary as well as real life applications. The book is aimed primarily at advanced undergraduates and postgraduate students studying mathematical analysis and mathematics in general. Researchers will also find this book useful.

Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties

Author : Feyzi Başar
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

Sequence Spaces and Series

Author : P. K. Kamthan
Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Sequence Spaces and Series by : P. K. Kamthan

Download or read book Sequence Spaces and Series written by P. K. Kamthan and published by . This book was released on 1981 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological vector spaces; Sequences spaces; Conservence of series; Further developments in sequences spaces.

Frames and Other Bases in Abstract and Function Spaces

Author : Isaac Pesenson
Publisher : Birkhäuser
ISBN 13 : 3319555502
Total Pages : 438 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Frames and Other Bases in Abstract and Function Spaces by : Isaac Pesenson

Download or read book Frames and Other Bases in Abstract and Function Spaces written by Isaac Pesenson and published by Birkhäuser. This book was released on 2017-06-11 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume I is organized around the theme of frames and other bases in abstract and function spaces, covering topics such as: The advanced development of frames, including Sigma-Delta quantization for fusion frames, localization of frames, and frame conditioning, as well as applications to distributed sensor networks, Galerkin-like representation of operators, scaling on graphs, and dynamical sampling. A systematic approach to shearlets with applications to wavefront sets and function spaces. Prolate and generalized prolate functions, spherical Gauss-Laguerre basis functions, and radial basis functions. Kernel methods, wavelets, and frames on compact and non-compact manifolds.

Mathematical Analysis and Applications

Author : Ouayl Chadli
Publisher : Springer Nature
ISBN 13 : 9811681775
Total Pages : 328 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Mathematical Analysis and Applications by : Ouayl Chadli

Download or read book Mathematical Analysis and Applications written by Ouayl Chadli and published by Springer Nature. This book was released on 2022-03-22 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects original peer-reviewed contributions presented at the "International Conference on Mathematical Analysis and Applications (MAA 2020)" organized by the Department of Mathematics, National Institute of Technology Jamshedpur, India, from 2–4 November 2020. This book presents peer-reviewed research and survey papers in mathematical analysis that cover a broad range of areas including approximation theory, operator theory, fixed-point theory, function spaces, complex analysis, geometric and univalent function theory, control theory, fractional calculus, special functions, operation research, theory of inequalities, equilibrium problem, Fourier and wavelet analysis, mathematical physics, graph theory, stochastic orders and numerical analysis. Some chapters of the book discuss the applications to real-life situations. This book will be of value to researchers and students associated with the field of pure and applied mathematics.

I - Convergent Sequence Spaces

Author : Vakeel A. Khan
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659426070
Total Pages : 112 pages
Book Rating : 4.4/5 (26 download)

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Book Synopsis I - Convergent Sequence Spaces by : Vakeel A. Khan

Download or read book I - Convergent Sequence Spaces written by Vakeel A. Khan and published by LAP Lambert Academic Publishing. This book was released on 2013 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: I-CONVERGENT SEQUENCE SPACES This book will be very useful to postgraduates students and for those who are doing research work or intend to work in the areas of classical and the modern sequence space theory . The main aim of this book is to introduce and study some new I- convergent sequence spaces. We have also discussed the topological properties, algebraic properties and inclusion relations on these new I-convergent sequence spaces .

Approximation Theory, Sequence Spaces and Applications

Author : S. A. Mohiuddine
Publisher : Springer Nature
ISBN 13 : 9811961166
Total Pages : 277 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Approximation Theory, Sequence Spaces and Applications by : S. A. Mohiuddine

Download or read book Approximation Theory, Sequence Spaces and Applications written by S. A. Mohiuddine and published by Springer Nature. This book was released on 2022-12-07 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and possible applications which improve the current understanding pertaining to sequence spaces and approximation theory. The presentation of the articles is clear and self-contained throughout the book.

Double Sequence Spaces and Four-Dimensional Matrices

Author : Feyzi Başar
Publisher : CRC Press
ISBN 13 : 1000594513
Total Pages : 467 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 467 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.

Algebra, Analysis, and Associated Topics

Author : Sandeep Singh
Publisher : Springer Nature
ISBN 13 : 3031190823
Total Pages : 242 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Algebra, Analysis, and Associated Topics by : Sandeep Singh

Download or read book Algebra, Analysis, and Associated Topics written by Sandeep Singh and published by Springer Nature. This book was released on 2023-01-16 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. This broad coverage will help generate new ideas to solve various challenges that face researchers in pure mathematics. Specific topics covered include maximal rotational hypersurfaces, k-Horadam sequences, quantum dynamical semigroups, and more. Additionally, several applications of algebraic number theory and analysis are presented. Algebra, Analysis, and Associated Topics will appeal to researchers, graduate students, and engineers interested in learning more about the impact pure mathematics has on various fields.

Classical Banach Spaces I

Author : J. Lindenstrauss
Publisher : Springer Science & Business Media
ISBN 13 : 3642665578
Total Pages : 202 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Classical Banach Spaces I by : J. Lindenstrauss

Download or read book Classical Banach Spaces I written by J. Lindenstrauss and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The appearance of Banach's book [8] in 1932 signified the beginning of a syste matic study of normed linear spaces, which have been the subject of continuous research ever since. In the sixties, and especially in the last decade, the research activity in this area grew considerably. As a result, Ban:ach space theory gained very much in depth as well as in scope: Most of its well known classical problems were solved, many interesting new directions were developed, and deep connections between Banach space theory and other areas of mathematics were established. The purpose of this book is to present the main results and current research directions in the geometry of Banach spaces, with an emphasis on the study of the structure of the classical Banach spaces, that is C(K) and Lip.) and related spaces. We did not attempt to write a comprehensive survey of Banach space theory, or even only of the theory of classical Banach spaces, since the amount of interesting results on the subject makes such a survey practically impossible.

Sequence Spaces and Summability over Valued Fields

Author : P. N. Natarajan
Publisher : CRC Press
ISBN 13 : 1000065413
Total Pages : 217 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Sequence Spaces and Summability over Valued Fields by : P. N. Natarajan

Download or read book Sequence Spaces and Summability over Valued Fields written by P. N. Natarajan and published by CRC Press. This book was released on 2019-07-09 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an interest in Summability Theory both Classical (Archimedean) and Ultrametric (non-Archimedean). The book presents theory and methods in the chosen topic, spread over 8 chapters that seem to be important at research level in a still developing topic. Key Features Presented in a self-contained manner Provides examples and counterexamples in the relevant contexts Provides extensive references at the end of each chapter to enable the reader to do further research in the topic Presented in the same book, a comparative study of Archimedean and non-Archimedean Summability Theory Appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory The book is written by a very experienced educator and researcher in Mathematical Analysis particularly Summability Theory.

Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties

Author : Feyzi Başar
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