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# Summability theory and its applications by Robert Ellis Powell

Written in English

## Subjects:

• Summability theory,
• Fourier series,
• Fourier transformations

Edition Notes

## Book details

Classifications The Physical Object Statement [by] R. E. Powell [and] S. M. Shah. Series The New university mathematics series Contributions Shah, S. M., 1905- joint author. LC Classifications QA295 .P68 Pagination ix, 178 p. Number of Pages 178 Open Library OL4771933M ISBN 10 0442066252 LC Control Number 78188530

Buy Summability theory and its applications (The New university mathematics series) on FREE SHIPPING on qualified orders Summability theory and its applications (The New university mathematics series): Powell, 5/5(1).

Summability Theory and its Applications eBook: US $39 Special Offer (PDF + Printed Copy): US$ Printed Copy: US $Library License: US$ ISBN: (Print) ISBN: (Online) Year of Publication: DOI: /Cited by:   Theory And Some Applications Of Summability Methods: Concepts of Summability, Double sequence spaces, Applications of Summability theory to fourier series and infinite series Paperback – Janu by & 0 more.

Find books. Summability Theory And Its Applications. The theory of summability has many Summability theory and its applications book throughout analysis and applied mathematics. Engineers and physicists working with Fourier series or analytic continuation will also find the concepts of summability theory.

Summability is a mathematical topic with a long tradition and many applications in, for example, function theory, number theory, and stochastics. It was originally based on classical analytical methods, but was strongly influenced by modern functional analytical methods during the last seven by: Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser known aspects.

Following a brief introduction to the history of summability theory, general matrix methods are introduced, and the Silverman-Toeplitz theorem on regular matrices is discussed. An introductory course in summability theory for students, researchers, physicists, and engineers In creating this book, the authors intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory.

Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory. In creating this book, the authors’ intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory.

Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser.

Summability theory ts within the broader mathematical topic group-ing called analysis. It also has links to number theory. Hardy and J. Littlewood are perhaps the most well-known summabilists. The classic explanation of summability, and still the best, is Hardy’s book \Divergent Series".

Suppose we have a series a 1 +aFile Size: KB. Summability theory and its applications. London, New York, Van Nostrand-Reinhold, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Robert Ellis Powell; S M Shah.

Abstract. In this chapter, we will present some recent development in summability theory and its applications. Concretely, we will discuss some applications of summability theory in sequence spaces define by modulus function, Orlicz function, and summability methods, which are related to statistical convergence and their : Naim L.

Braha. In creating this book, the authors intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory.

Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser known aspects. In creating this book, the authors' intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory.

Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, Cited by: 4. The concepts of summability have been extended to the sequences of fuzzy numbers and also to the theorems of ergodic theory.

This e-book 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 : Basar Feyzi.

Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser known aspects.

Following a brief introduction to the history Author: Ants Aasma, Hemen Dutta, P. Natarajan. The concepts of summability have been extended to the sequences of fuzzy numbers and also to the theorems of ergodic theory.

This e-book 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.

Summability is a mathematical topic with a long tradition and many applications in, for example, function theory, number theory, and stochastics. It was originally based on classical analytical Reviews: 1. Borel's methods of summability--transformations of one series of numbers to another--are fundamental to a whole class of sequences to function methods.

Conceived at the beginning of the 20th century, they have been increasingly applied to exciting new problems in theoretical physics. Comprehensive and rigorous, this book offers an outstanding overview of the subject.

Nicolae Dinculeanu, in Handbook of Measure Theory, Summability of processes with integrable variation or integrable semivariation. The following theorem asserts the summability of processes with integrable variation or semivariation. Moreover, in this case, the stochastic integral can be computed pathwise, as a Stieltjes integral.

Summability is a mathematical topic with a long tradition and many applications in, for example, function theory, number theory, and stochastics. It was originally based on classical analytical methods, but was strongly influenced by modern functional analytical methods during the last seven decades.

In this chapter, the fundamental results on double sequences and related topics are given. In particular, the concept of convergence of double series in the Pringsheim's sense is defined, certain spaces of double sequences are introduced, and their &#;-,fi &#;- duals are determined.

Additionally, some classes of four dimensional matrices are characterized. Summability Techniques and Their Applications in Soft Computing: /ch Summability methods are a useful tool in dealing with the problems in the soft computing like in filtering of the signals and for stabilizing the : Smita Sonker, Alka Munjal.

This book discusses recent developments in and the latest research on mathematics, statistics and their applications.

All contributing authors are eminent academics, scientists, researchers and scholars in their respective fields, hailing from around the : Hardcover. In the applications of summability theory to function theory it is important to know the region in which the sequence of partial sums of the geometric series is A-summable to $$1/(1 - z)$$ for a.

Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its. This book discusses recent developments in and contemporary research on summability theory, including general summability methods, direct theorems on summability, absolute and strong summability, special methods of summability, functional analytic methods in summability, and related topics and : Springer Singapore.

Sequence Spaces: Topics in Modern Summability Theory 1st Edition. Mohammad Mursaleen, Feyzi Başar Ma This book is aimed at both experts and non-experts with an interest in getting acquainted with sequence spaces, matrix transformations and their applications. In this paper, which deals essentially with various summability concepts and summability techniques and shows how these concepts and techniques lead to a number of approximation results, we have used the new concept of weighted A-summability proposed by Mohiuddine () and introduced the notions of statistically weighted B-summability and weighted B Cited by: of 17 results for Books: Hemen Dutta.

Skip to main search results Theory and Applications (Studies in Systems, Decision and Control) Hardcover Currently unavailable.

Kindle Edition ₹8, ₹ 8, Current Topics in Summability Theory and Applications. by Hemen Dutta and Billy E.

Rhoades | 27 May Paperback. Almost Everywhere Convergence II presents the proceedings of the Second International Conference on Almost Everywhere Convergence in Probability and Ergodotic Theory, held in Evanston, Illinois on October 16–20, This book discusses the many remarkable developments in almost everywhere convergence.

This book collects original research papers and survey articles presented it discusses major topics in mathematical analysis and its applications, and demonstrates the versatility and inherent beauty of analysis. approximation theory, fixed-point theory, holomorphic functions, summability theory, and analytic functions.

It is a valuable. Summability methods are concerned with transforming series of numbers to other series. It is an area that has seen applications in number theory as well as in other parts of mathematics. Abstract.

While the direct and converse theorems of approximation theory enable us to characterize the smoothness of a function $$f: [-1,1] \rightarrow \mathbb{R}$$ in terms of its degree of polynomial approximation, they do not account for local smoothness. The use of localized summability kernels leads to a wavelet-like representation, using the Fourier–Jacobi Cited by: 1.

(source: Nielsen Book Data) Summability is a mathematical topic with a long tradition and many applications in, for example, function theory, number theory, and stochastics.

It was originally based on classical analytical methods, but was strongly influenced by modern functional analytical methods during the last seven decades. Başar, Summability Theory and Its Applications (Bentham Science Publishers, e-books, Monographs, Istanbul, ) Google Scholar J.

Boos, Classical and Modern Methods in Summability (Oxford University Press, New York, ) Google Scholar. An Introductory Course in Summability Theory is the ideal first text in summability theory for graduate students, especially those having a good grasp of real and complex analysis.

It is also a valuable reference for mathematics researchers and for physicists and engineers who work with Fourier series, Fourier transforms, or analytic continuation. He has published an e-book for graduate students and researchers and more than scientific papers in the field of summability theory, sequence spaces, FK-spaces, Schauder bases, dual spaces, matrix transformations, spectrum of certain linear operators represented by a triangle matrix over some sequence space, the alpha- beta- and gamma.

(source: Nielsen Book Data) Summary Summability is a mathematical topic with a long tradition and many applications in, for example, function theory, number theory, and stochastics.

It was originally based on classical analytical methods, but was strongly influenced by modern functional analytical methods during the last seven decades. 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.

With teaching and research experience of over 39 years, he has published more than research papers in leading international journals in areas of approximation theory, operator theory, integration theory, fixed point theory, number theory, cryptography, summability theory and fuzzy set : Springer Singapore.A summability method or summation method is a partial function from the set of series to values.

in applications to physics, this is known as the method of heat-kernel regularization. Theory and Practice, North-Holland. Hardy, G. H. ().The chapter presents the summability method for Fourier series of functions of bounded variation on [−π, π].

Mathematical Analysis and its Applications covers the proceedings of the International Conference on Mathematical Analysis and its Applications.

The book presents studies that discuss several mathematical analysis methods and.

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