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Periodica Mathematica Hungarica

, Volume 78, Issue 1, pp 38–46 | Cite as

Tauberian conditions on some slowly decreasing sequences

  • Yılmaz ErdemEmail author
Article
  • 169 Downloads

Abstract

We present some Tauberian conditions to recover Cesàro summability of a sequence out of the product methods of Abel and Cesàro 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.

Keywords

Abel summability Cesàro summability Product method of summability Slowly decreasing Tauberian theorems 

Mathematics Subject Classification

40E05 40G0 40G10 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Department of Economics and FinanceAydın Adnan Menderes UniversityAydınTurkey

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