AN O-TAUBERIAN THEOREM AND A HIGH INDEXES THEOREM FOR POWER-SERIES METHODS OF SUMMABILITY

被引：5

作者：

BORWEIN, D ^{[1
]}

KRATZ, W ^{[1
]}

机构：

[1] UNIV ULM,MATH ABT,W-7900 ULM,GERMANY

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1994年 / 115卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1017/S0305004100072133

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We improve known Tauberian results concerning the power series method of summability J(p) based on the sequence {p(n)} by removing the condition that p(n) be asymptotically logarithmico-exponential. We also prove an entirely new Tauberian result for rapidly decreasing p(n).

引用

页码：365 / 375

页数：11

共 12 条

[1] ON RELATIONS BETWEEN WEIGHTED MEAN AND POWER-SERIES METHODS OF SUMMABILITY [J].