A short proof of the generalized Littlewood Tauberian theorem

被引：9

作者：

Canak, Ibrahim ^{[1
]}

机构：

[1] Adnan Menderes Univ, Dept Math, TR-09010 Aydin, Turkey

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 07期

关键词：

Abel summability; Slow oscillation; Tauberian conditions and theorems;

D O I：

10.1016/j.aml.2010.03.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we give an alternative proof of the generalized Littlewood Tauberian theorem for the Abel summability method using a corollary to Karamata's Main Theorem [J. Karamata, Uber die Hardy-Littlewoodschen Umkehrungen des Abelschen Stetigkeitssatzes, Math. Z. 32 (1930) 319-320]. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：818 / 820

页数：3

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