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Classical Summability Theory

Name: Classical Summability Theory
Brand: Springer Verlag, Singapore
SKU: 15874988
Price: 99.75 EUR
Availability: InStock
Author: Pinnangudi Natarajan
ISBN: 9789811042041

Pinnangudi Natarajan

Jazyk

Angličtina

Kniha Pevná

Libristo kód: 15874988

Nakladateľstvo Springer Verlag, Singapore, máj 2017

This book presents results about certain summability methods, such as the Abel method, the Norlund m... Celý popis

Libristo kód: 15874988

241 b

99.75 €

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This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books. It proves a few results on the Cauchy multiplication of certain summable series and some product theorems. It also proves a number of Steinhaus type theorems. In addition, it introduces a new definition of convergence of a double sequence and double series and proves the Silverman-Toeplitz theorem for four-dimensional infinite matrices, as well as Schur's and Steinhaus theorems for four-dimensional infinite matrices. The Norlund method, the Weighted mean method and the Natarajan method for double sequences are also discussed in the context of the new definition. Divided into six chapters, the book supplements the material already discussed in G.H.Hardy's Divergent Series. It appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory..