{"title":"General Tauberian conditions for weighted mean methods of summability","authors":"S. A. Sezer, Ibrahim Çanak","doi":"10.7153/jca-2019-15-08","DOIUrl":null,"url":null,"abstract":"In this paper we recover convergence of a complex sequence (un) out of its summability by weighted means under certain supplementary conditions that control the oscillatory behavior of (un) . As corollaries, we obtain classical Hardy-type Tauberian conditions for various weighted mean methods. Mathematics subject classification (2010): 40A05, 40E05, 40G05.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of classical analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/jca-2019-15-08","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we recover convergence of a complex sequence (un) out of its summability by weighted means under certain supplementary conditions that control the oscillatory behavior of (un) . As corollaries, we obtain classical Hardy-type Tauberian conditions for various weighted mean methods. Mathematics subject classification (2010): 40A05, 40E05, 40G05.
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