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Author : J. Copping
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (1 download)
Download or read book Infinite Matrices and Multiple Sequences, with Applications written by J. Copping and published by . This book was released on 1956 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard G. Cooke
Publisher : Courier Corporation
ISBN 13 : 0486795063
Total Pages : 370 pages
Book Rating : 4.4/5 (867 download)
Download or read book Infinite Matrices and Sequence Spaces written by Richard G. Cooke and published by Courier Corporation. This book was released on 2014-06-10 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, correct summation of basic results on general behavior of infinite matrices features three introductory chapters leading to applications related to summability of divergent sequences and series. Nearly 200 examples. 1950 edition.
Author : P.N. Shivakumar
Publisher : Springer
ISBN 13 : 3319301802
Total Pages : 124 pages
Book Rating : 4.3/5 (193 download)
Download or read book Infinite Matrices and Their Recent Applications written by P.N. Shivakumar and published by Springer. This book was released on 2016-06-20 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases. Most of the matrices considered in this monograph have typically special structures like being diagonally dominated or tridiagonal, possess certain sign distributions and are frequently nonsingular. Such matrices arise, for instance, from solution methods for elliptic partial differential equations. The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu’s equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian.
Author : R. G. Cooke
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (5 download)
Download or read book Infinite Matrices and Sequence Spaces written by R. G. Cooke and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. W. Cross
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (1 download)
Download or read book Sequence to Sequence Transformations by Infinite Matrices, with Applications to Summability written by R. W. Cross and published by . This book was released on 1963 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard G. Cooke
Publisher :
ISBN 13 :
Total Pages : 347 pages
Book Rating : 4.:/5 (31 download)
Download or read book Infinite Matrices and Sequence Spaces written by Richard G. Cooke and published by . This book was released on 1955 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (117 download)
Download or read book Infinite Matrices and Sequence Spaces written by and published by . This book was released on 1950 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marko Lindner
Publisher : Springer Science & Business Media
ISBN 13 : 3764377674
Total Pages : 203 pages
Book Rating : 4.7/5 (643 download)
Download or read book Infinite Matrices and their Finite Sections written by Marko Lindner and published by Springer Science & Business Media. This book was released on 2006-11-10 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. The main concepts presented are invertibility at infinity (closely related to Fredholmness), limit operators, and the stability and convergence of finite matrix approximations. Concrete examples are used to illustrate the results throughout, including discrete Schrödinger operators and integral and boundary integral operators arising in mathematical physics and engineering.
Author : S. A. Mohiuddine
Publisher : CRC Press
ISBN 13 : 1000610047
Total Pages : 307 pages
Book Rating : 4.0/5 (6 download)
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.
Author : M. Mursaleen
Publisher : Springer Science & Business Media
ISBN 13 : 8132216113
Total Pages : 174 pages
Book Rating : 4.1/5 (322 download)
Download or read book Convergence Methods for Double Sequences and Applications written by M. Mursaleen and published by Springer Science & Business Media. This book was released on 2013-10-17 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book exclusively deals with the study of almost convergence and statistical convergence of double sequences. The notion of “almost convergence” is perhaps the most useful notion in order to obtain a weak limit of a bounded non-convergent sequence. There is another notion of convergence known as the “statistical convergence”, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This concept arises as an example of “convergence in density” which is also studied as a summability method. Even unbounded sequences can be dealt with by using this method. The book also discusses the applications of these non-matrix methods in approximation theory. Written in a self-contained style, the book discusses in detail the methods of almost convergence and statistical convergence for double sequences along with applications and suitable examples. The last chapter is devoted to the study convergence of double series and describes various convergence tests analogous to those of single sequences. In addition to applications in approximation theory, the results are expected to find application in many other areas of pure and applied mathematics such as mathematical analysis, probability, fixed point theory and statistics.
Author : Charles H. C. Little
Publisher : Springer Nature
ISBN 13 : 3030906469
Total Pages : 258 pages
Book Rating : 4.0/5 (39 download)
Download or read book An Introduction to Infinite Products written by Charles H. C. Little and published by Springer Nature. This book was released on 2022-01-10 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section.
Author : Charles Swartz
Publisher : World Scientific
ISBN 13 : 9810227361
Total Pages : 222 pages
Book Rating : 4.8/5 (12 download)
Download or read book Infinite Matrices and the Gliding Hump written by Charles Swartz and published by World Scientific. This book was released on 1996 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinski, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which, in contrast to the usual versions, require no completeness or barrelledness assumptions on the domain space. Versions of Nikodym Boundedness and Convergence Theorems of measure theory, the Orlicz-Pettis Theorem on subseries convergence, generalizations of the Schur Lemma on the equivalence of weak and norm convergence in l1 and the Mazur-Orlicz Theorem on the continuity of separately continuous bilinear mappings are also given. Finally, the matrix theorems are also employed to treat a number of topics in sequence spaces.
Author : Abdullah K. Noman
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783845402352
Total Pages : 116 pages
Book Rating : 4.4/5 (23 download)
Download or read book Infinite Matrices and Compact Operators on Sequence Spaces written by Abdullah K. Noman and published by LAP Lambert Academic Publishing. This book was released on 2011-07 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: In modern analysis, the subject matter of functional analysis includes the study of abstract spaces, operators and transformations of these spaces, which provides a general framework for finding solutions of various problems in applied mathematics and physics. These abstract spaces include the sequence spaces as important special cases and this book is the result of many research papers which represent an original contribution to the theory of sequence spaces and infinite matrices with their matrix transformations. So, the present book can help in improving the reader's research abilities in this area.The main aim of this book is to generalize some classical methods of summability, introduce some new sequence spaces and study their topological properties, duals and matrix transformations, and characterize some classes of compact operators on these spaces which can be obtained as an application of the Hausdorff measure of noncompactness.
Author : Charles W Swartz
Publisher : World Scientific
ISBN 13 : 9814498718
Total Pages : 222 pages
Book Rating : 4.8/5 (144 download)
Download or read book Infinite Matrices And The Gliding Hump, Matrix Methods In Analysis written by Charles W Swartz and published by World Scientific. This book was released on 1996-08-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinski, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which, in contrast to the usual versions, require no completeness or barrelledness assumptions on the domain space. Versions of Nikodym Boundedness and Convergence Theorems of measure theory, the Orlicz-Pettis Theorem on subseries convergence, generalizations of the Schur Lemma on the equivalence of weak and norm convergence in l1 and the Mazur-Orlicz Theorem on the continuity of separately continuous bilinear mappings are also given. Finally, the matrix theorems are also employed to treat a number of topics in sequence spaces.
Author : Richard G. Cooke
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (899 download)
Download or read book Infinite Matrices and Sequence Space written by Richard G. Cooke and published by . This book was released on 1955 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I.J. Maddox
Publisher : Springer
ISBN 13 : 3540389466
Total Pages : 128 pages
Book Rating : 4.5/5 (43 download)
Download or read book Infinite Matrices of Operators written by I.J. Maddox and published by Springer. This book was released on 2006-11-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gokulananda Das
Publisher : CRC Press
ISBN 13 : 1000467570
Total Pages : 230 pages
Book Rating : 4.0/5 (4 download)
Download or read book Banach Limit and Applications written by Gokulananda Das and published by CRC Press. This book was released on 2021-11-23 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banach Limit 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 1932, were scattered till now. Sublinear functionals generating and dominating Banach Limit, unique Banach Limit (almost convergence), invariant means and invariant limits, absolute and strong almost convergence, applications to ergodicity, law of large numbers, Fourier series, uniform distribution of sequences, uniform density, core theorems, and functional Banach limits are discussed in this book. The discovery of functional analysis, such as the Hahn-Banach Theorem and the Banach-Steinhaus Theorem, helped the researchers to develop a modern, rich, and unified theory of sequence spaces by encompassing classical summability theory via matrix transformations and the topics related to sequence spaces, which arose from the concept of Banach limits, all of which are presented in this book. The unique features of this book are as follows: All the results in this area which were scattered till now are in one place. The book is the first of its kind 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 and Ph.D. and advanced master’s students. The book is suitable for one- or two-semester course work for Ph.D. students, M.S. students in North America and Europe, and M.Phil. and master’s students in India.
