Sequence Spaces

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Sequence Spaces

Mohammad Mursaleen,Feyzi Başar
Sequence Spaces Book PDF

Author : Mohammad Mursaleen,Feyzi Başar
Publisher : CRC Press
Page : 184 pages
File Size : 40,7 Mb
Release : 2020-03-10
Category : Mathematics
ISBN : 9781000045178

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Sequence Spaces by Mohammad Mursaleen,Feyzi Başar Pdf

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.

Operators Between Sequence Spaces and Applications

Bruno de Malafosse,Eberhard Malkowsky,Vladimir Rakočević
Operators Between Sequence Spaces and Applications Book PDF

Author : Bruno de Malafosse,Eberhard Malkowsky,Vladimir Rakočević
Publisher : Springer Nature
Page : 379 pages
File Size : 48,8 Mb
Release : 2021-01-19
Category : Mathematics
ISBN : 9789811597428

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Operators Between Sequence Spaces and Applications by Bruno de Malafosse,Eberhard Malkowsky,Vladimir Rakočević Pdf

This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals with the solvability of infinite systems of linear equations in various sequence spaces. It uses the classical sequence spaces, generalized Cesaro and difference operators to obtain calculations and simplifications of complicated spaces involving these operators. In order to make it self-contained, comprehensive and of interest to a larger mathematical community, the authors have presented necessary concepts with results for advanced research topics. This book is intended for graduate and postgraduate students, teachers and researchers as a basis for further research, advanced lectures and seminars.

Sequence Spaces and Applications

Pawan K. Jain,Eberhard Malkowsky
Sequence Spaces and Applications Book PDF

Author : Pawan K. Jain,Eberhard Malkowsky
Publisher : Alpha Science Int'l Ltd.
Page : 162 pages
File Size : 51,8 Mb
Release : 1999
Category : Mathematics
ISBN : 8173192391

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Sequence Spaces and Applications by Pawan K. Jain,Eberhard Malkowsky Pdf

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.

Approximation Theory, Sequence Spaces and Applications

S. A. Mohiuddine,Bipan Hazarika,Hemant Kumar Nashine
Approximation Theory Sequence Spaces and Applications Book PDF

Author : S. A. Mohiuddine,Bipan Hazarika,Hemant Kumar Nashine
Publisher : Springer Nature
Page : 277 pages
File Size : 50,9 Mb
Release : 2022-12-07
Category : Mathematics
ISBN : 9789811961168

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Approximation Theory, Sequence Spaces and Applications by S. A. Mohiuddine,Bipan Hazarika,Hemant Kumar Nashine Pdf

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

Feyzi Başar,Medine Yeşilkayagil Savaşcı
Double Sequence Spaces and Four Dimensional Matrices Book PDF

Author : Feyzi Başar,Medine Yeşilkayagil Savaşcı
Publisher : CRC Press
Page : 252 pages
File Size : 42,8 Mb
Release : 2022-04-22
Category : Mathematics
ISBN : 9781000594478

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Double Sequence Spaces and Four-Dimensional Matrices by Feyzi Başar,Medine Yeşilkayagil Savaşcı Pdf

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.

Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations

Józef Banaś,Mohammad Mursaleen
Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations Book PDF

Author : Józef Banaś,Mohammad Mursaleen
Publisher : Springer
Page : 315 pages
File Size : 50,5 Mb
Release : 2014-07-18
Category : Mathematics
ISBN : 9788132218869

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Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations by Józef Banaś,Mohammad Mursaleen Pdf

This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has many applications. The book discusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness; in particular, the Hausdorff measure of noncompactness has been applied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators. The book consists of eight self-contained chapters. Chapter 1 discusses the theory of FK spaces and Chapter 2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4. Chapter 5 studies the notion of a measure of noncompactness and its properties. The techniques associated with measures of noncompactness are applied to characterize the compact matrix operators in Chapters 6. In Chapters 7 and 8, some of the existence results are discussed for various types of differential and integral equations, which are obtained with the help of argumentations based on compactness conditions.

Infinite Matrices and Sequence Spaces

Richard G. Cooke
Infinite Matrices and Sequence Spaces Book PDF

Author : Richard G. Cooke
Publisher : Courier Corporation
Page : 370 pages
File Size : 50,9 Mb
Release : 2014-07-16
Category : Mathematics
ISBN : 9780486780832

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Infinite Matrices and Sequence Spaces by Richard G. Cooke Pdf

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.

A Study of Triple Sequence Spaces

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

Author : Vakeel A. Khan -Ayhan Asi -Nagarajan Subramanian -Hira Fatima
Publisher : HOLISTENCE PUBLICATIONS
Page : 182 pages
File Size : 55,9 Mb
Release : 2021-05-12
Category : Antiques & Collectibles
ISBN : 9786257047746

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

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 Spaces and Summability over Valued Fields

P. N. Natarajan
Sequence Spaces and Summability over Valued Fields Book PDF

Author : P. N. Natarajan
Publisher : CRC Press
Page : 142 pages
File Size : 54,5 Mb
Release : 2019-07-09
Category : Mathematics
ISBN : 9781000074918

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Sequence Spaces and Summability over Valued Fields by P. N. Natarajan Pdf

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.

Sequence Space Theory with Applications

S. A. Mohiuddine,Bipan Hazarika
Sequence Space Theory with Applications Book PDF

Author : S. A. Mohiuddine,Bipan Hazarika
Publisher : CRC Press
Page : 307 pages
File Size : 41,5 Mb
Release : 2022-07-20
Category : Mathematics
ISBN : 9781000610048

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Sequence Space Theory with Applications by S. A. Mohiuddine,Bipan Hazarika Pdf

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 Space Theory with Applications

S. A. Mohiuddine,Bipan Hazarika
Sequence Space Theory with Applications Book PDF

Author : S. A. Mohiuddine,Bipan Hazarika
Publisher : CRC Press
Page : 530 pages
File Size : 55,8 Mb
Release : 2022-07-20
Category : Mathematics
ISBN : 9781000610086

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Sequence Space Theory with Applications by S. A. Mohiuddine,Bipan Hazarika Pdf

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.

Banach Spaces and Their Applications in Analysis

Beata Randrianantoanina,Narcisse Randrianantoanina
Banach Spaces and Their Applications in Analysis Book PDF

Author : Beata Randrianantoanina,Narcisse Randrianantoanina
Publisher : Walter de Gruyter
Page : 472 pages
File Size : 47,6 Mb
Release : 2007
Category : Mathematics
ISBN : 311019449X

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Banach Spaces and Their Applications in Analysis by Beata Randrianantoanina,Narcisse Randrianantoanina Pdf

In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space techniques. This volume contains papers by participants of the conference "Banach Spaces and their Applications in Analysis", held in May 2006 at Miami University in Oxford, Ohio, in honor of Nigel Kalton's 60th birthday. In addition to research articles contributed by participants, the volume includes invited expository articles by principal speakers of the conference, who are leaders in their areas. These articles present overviews of new developments in each of the conference's main areas of emphasis, namely nonlinear theory, isomorphic theory of Banach spaces including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces. This volume also contains an expository article about the deep and broad mathematical work of Nigel Kalton, written by his long time collaborator, Gilles Godefroy. Godefroy's article, and in fact the entire volume, illustrates the power and versatility of applications of Banach space methods and underlying connections between seemingly distant areas of analysis.

Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties

Feyzi Başar,Hemen Dutta
Summable Spaces and Their Duals Matrix Transformations and Geometric Properties Book PDF

Author : Feyzi Başar,Hemen Dutta
Publisher : CRC Press
Page : 110 pages
File Size : 51,9 Mb
Release : 2020-02-25
Category : Mathematics
ISBN : 9781351166904

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Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties by Feyzi Başar,Hemen Dutta Pdf

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

P. K. Kamthan,Manjul Gupta
Sequence Spaces and Series Book PDF

Author : P. K. Kamthan,Manjul Gupta
Publisher : Unknown
Page : 388 pages
File Size : 40,7 Mb
Release : 1981
Category : Computers
ISBN : STANFORD:36105032626835

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Sequence Spaces and Series by P. K. Kamthan,Manjul Gupta Pdf

Topological vector spaces; Sequences spaces; Conservence of series; Further developments in sequences spaces.

Summability Theory And Its Applications

Feyzi Basar
Summability Theory And Its Applications Book PDF

Author : Feyzi Basar
Publisher : Bentham Science Publishers
Page : 410 pages
File Size : 42,9 Mb
Release : 2012-09-07
Category : Mathematics
ISBN : 9781608052523

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Summability Theory And Its Applications by Feyzi Basar Pdf

The theory of summability has many uses throughout analysis and applied mathematics. Engineers and physicists working with Fourier series or analytic continuation will also find the concepts of summability theory valuable to their research. The concepts of summability have been extended to the sequences of fuzzy numbers and also to the theorems of ergodic theory. This ebook explains various aspects of summability and demonstrates applications in a coherent manner. The content can readily serve as a useful series of lecture notes on the subject. This ebook comprises of 8 chapters starting from classical sequence spaces and covering matrix transformations and fuzzy numbers. An accompanying bibliography with extensive references makes this a valuable source of information for readers interested in summability theory as well as other branches of science.