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A Tauberian theorem concerning weighted means and power series

Published:1987-03 Issue:2 Volume:101 Page:283-286
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Borwein David,Meir Amram

Abstract

Suppose throughout that {pn} is a sequence of non-negative numbers with p0 > 0, that

and that

Let {sn} be a sequence of real numbers.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. A Tauberian theorem for $\left( {J,p_n} \right)$ summability

2. Tauberian Conditions for the Equivalence of Weighted Mean and Power Series Methods of Summability

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An O-Tauberian theorem and a high indices theorem for power series methods of summability;Mathematical Proceedings of the Cambridge Philosophical Society;1994-03

2. Tauberian theorems concerning power series with non-negative coefficients;Acta Mathematica Hungarica;1992-03

3. Tauberian theorems for Jp-summability;Journal of Mathematical Analysis and Applications;1989-05

4. On relations between weighted mean and power series methods of summability;Journal of Mathematical Analysis and Applications;1989-04

5. Tauber-S�tze f�r Potenzreihenverfahren;Archiv der Mathematik;1988-02

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