Power series methods of summability: positivity and gap perfectness-Reference-Cited by-同舟云学术

Power series methods of summability: positivity and gap perfectness

Published:1981 Issue:1 Volume:266 Page:309-317
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Jakimovski A.,Meyer-König W.,Zeller K.

Abstract

A class of power series methods of summability is defined. By means of a positivity argument (Bohman-Korovkin) it is shown that each method of the class is gap perfect. This fact facilitates the proof of Tauberian gap theorems. Several examples are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1981-266-01/S0002-9947-1981-0613798-7/S0002-9947-1981-0613798-7.pdf

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4. Regularly varying functions and power series methods;Jakimovski, A.;J. Math. Anal. Appl.,1980

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