Tauberian conditions on some slowly decreasing sequences

被引：1

作者：

Erdem, Yilmaz ^{[1
]}

机构：

[1] Adnan Menderes Univ, Dept Econ & Finance, TR-09100 Aydin, Turkey

来源：

PERIODICA MATHEMATICA HUNGARICA | 2019年 / 78卷 / 01期

关键词：

Abel summability; Cesaro summability; Product method of summability; Slowly decreasing; Tauberian theorems; 40E05; 40G0; 40G10; THEOREMS; SUMMABILITY; (A)(C; BOREL;

D O I：

10.1007/s10998-018-0251-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some Tauberian conditions to recover Cesaro summability of a sequence out of the product methods of Abel and Cesaro summability of the sequence. Moreover, we generalize some classical Tauberian theorems, such as the Hardy-Littlewood theorem, the generalized Littlewood theorem for Abel summability method.

引用

页码：38 / 46

页数：9

共 29 条

[1] ON A CONVERSE OF ABEL THEOREM [J].