-PDF Download- Sequence Space Theory With Applications EBOOK

Sequence Space Theory with Applications

Author: S. A. Mohiuddine

Publisher: CRC Press

Published: 2022-07-20

Total Pages: 530

ISBN-13: 100061008X

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.

Published: 1999

Total Pages: 162

ISBN-13: 9788173192395

DOWNLOAD EBOOK →

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

Author: S. A. Mohiuddine

Publisher: Springer Nature

Published: 2022-12-07

Total Pages: 277

ISBN-13: 9811961166

DOWNLOAD EBOOK →

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.

Operators Between Sequence Spaces and Applications

Author: Bruno de Malafosse

Publisher: Springer Nature

Published: 2021-01-19

Total Pages: 379

ISBN-13: 9811597421

DOWNLOAD EBOOK →

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

Author: Mohammad Mursaleen

Publisher: CRC Press

Published: 2020-03-10

Total Pages: 313

ISBN-13: 1000045153

DOWNLOAD EBOOK →

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.

Summability Theory and Its Applications

Author: Feyzi Başar

Publisher: CRC Press

Published: 2022-06-27

Total Pages: 865

ISBN-13: 1000599183

DOWNLOAD EBOOK →

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.

Ideal Sequence Design in Time-Frequency Space

Author: Myoung An

Publisher: Springer Science & Business Media

Published: 2008-11-09

Total Pages: 237

ISBN-13: 0817647384

DOWNLOAD EBOOK →

This book develops theory and algorithms leading to systematic waveform design in time-frequency space. The key tool employed in the work is the Zak transform, which provides a two-dimensional image for sequences, the Fourier transform, convolution, and correlation, and allows for the design of sequences directly in Zak space. Application areas covered include pulse radars and sonars, multibeam radar and sonar imaging systems, remote dielectric material identification, and code division multiple-access communication systems. This is an excellent reference text for graduate students, researchers, and engineers in radar, sonar, and communication systems.

Sequence Spaces and Ideal Convergence with Applications

Author: Bipan Hazarika

Publisher: LAP Lambert Academic Publishing

Published: 2013

Total Pages: 76

ISBN-13: 9783659473654

DOWNLOAD EBOOK →

This book exclusively deals with the study of ideal convergence on different type of sequences spaces. The notion of "ideal convergence" is the generalization of the "statistical convergence", introduced by H. Fast, which is an extension of the usual concept of sequential limits. 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 ideal convergence for single sequences along with applications and suitable examples. The last chapter gives some 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.

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

Author: Józef Banaś

Publisher: Springer

Published: 2014-07-18

Total Pages: 323

ISBN-13: 8132218868

DOWNLOAD EBOOK →

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.