Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/1719
Title: Some Tauberian conditions obtained through weighted generator sequences
Authors: Belen, Cemal
Ordu Üniversitesi
0000-0002-8832-1524
Keywords: STATISTICAL CONVERGENCE FOLLOWSSUMMABILITYTHEOREMS
Tauberian theoremstatistical convergencesummabilityweighted mean
Issue Date: 2014
Publisher: WALTER DE GRUYTER GMBHGENTHINER STRASSE 13, D-10785 BERLIN, GERMANY
Abstract: Recently, the concept of weighted generator sequence has been introduced by Canak and Totur [1]. They proved that certain conditions in terms of weighted generator sequences are Tauberian conditions for the weighted mean method. In this paper, we present the necessary and sufficient Tauberian conditions based on a weighted generator sequence under which statistical convergence follows from statistical summability by weighted means.
URI: http://doi.org/10.1515/gmj-2014-0040
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/1719
Appears in Collections:Matematik ve Fen Bilgisi Eğitimi

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