Approximation Theory, Sequence Spaces and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Approximation Theory, Sequence Spaces and Applications write by S. A. Mohiuddine. This book was released on 2022-12-07. Approximation Theory, Sequence Spaces and Applications available in PDF, EPUB and Kindle. 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.
Sequence Space Theory with Applications
Sequence Space Theory with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sequence Space Theory with Applications write by S. A. Mohiuddine. This book was released on 2022-07-20. Sequence Space Theory with Applications available in PDF, EPUB and Kindle. 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.
Advances in Summability and Approximation Theory
Advances in Summability and Approximation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Summability and Approximation Theory write by S. A. Mohiuddine. This book was released on 2018-12-30. Advances in Summability and Approximation Theory available in PDF, EPUB and Kindle. This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations. It also includes the generalization of linear positive operators in post-quantum calculus, which is one of the currently active areas of research in approximation theory. Presenting original papers by internationally recognized authors, the book is of interest to a wide range of mathematicians whose research areas include summability and approximation theory. One of the most active areas of research in summability theory is the concept of statistical convergence, which is a generalization of the familiar and widely investigated concept of convergence of real and complex sequences, and it has been used in Fourier analysis, probability theory, approximation theory and in other branches of mathematics. The theory of approximation deals with how functions can best be approximated with simpler functions. In the study of approximation of functions by linear positive operators, Bernstein polynomials play a highly significant role due to their simple and useful structure. And, during the last few decades, different types of research have been dedicated to improving the rate of convergence and decreasing the error of approximation.
Sequence Spaces and Applications
Sequence Spaces and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sequence Spaces and Applications write by Pawan K. Jain. This book was released on 1999. Sequence Spaces and Applications available in PDF, EPUB and Kindle. 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 and Ideal Convergence with Applications
Sequence Spaces and Ideal Convergence with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sequence Spaces and Ideal Convergence with Applications write by Bipan Hazarika. This book was released on 2013. Sequence Spaces and Ideal Convergence with Applications available in PDF, EPUB and Kindle. 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.
