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Some Tauberian theorems for statistical (C, 1) summability

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dc.contributor.author Belen, Cemal
dc.date.accessioned 2022-08-16T06:55:21Z
dc.date.available 2022-08-16T06:55:21Z
dc.date.issued 2014
dc.identifier.uri http://doi.org/10.1016/j.amc.2014.04.104
dc.identifier.uri http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/1718
dc.description.abstract Schoenberg (1959) [23] proved that if a sequence (x(k)) is bounded and statistically convergent to L then it is statistically summable (C, 1) to L. However the converse is not true. In this paper we prove necessary and sufficient Tauberian conditions based on generator sequences under which statistical convergence follows from statistical summability (C, 1). (C) 2014 Elsevier Inc. All rights reserved. en_US
dc.language.iso eng en_US
dc.publisher ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169 en_US
dc.relation.isversionof 10.1016/j.amc.2014.04.104 en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject DOUBLE SEQUENCESWEIGHTED MEANSCONVERGENCE FOLLOWSCESARO SUMMABILITY en_US
dc.subject Tauberian theoremStatistical convergenceCesaro summability en_US
dc.title Some Tauberian theorems for statistical (C, 1) summability en_US
dc.type article en_US
dc.relation.journal APPLIED MATHEMATICS AND COMPUTATION en_US
dc.contributor.department Ordu Üniversitesi en_US
dc.contributor.authorID 0000-0002-8832-1524 en_US
dc.identifier.volume 240 en_US
dc.identifier.startpage 252 en_US
dc.identifier.endpage 258 en_US


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