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Introduction and background

Parameswaran M. Rajagopal CT. Indian Math. Zeller K. CiteScore 0.

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İbrahim ÇANAK - Citações do Google Académico

English Deutsch. Open access. Abstract In this paper we prove some Tauberian theorems for the product of Borei and Holder summability methods which improve the classical Tauberian theorems for the Borei summability method. Crossref 1. Amir, A. Crossref 2.


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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 entire chapter is devoted to a discussion of some elementary Tauberian theorems involving certain summability methods.

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.

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Comparison of speeds of convergence in Riesz-type families of summability methods; pp. 70–80

Buy Hardcover. Buy Softcover. FAQ Policy. About this book 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 applications. Show all. Show next xx. Recommended for you. PAGE 1.