{"title":"可和性加权平均法的一般Tauberian条件","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":"{\"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}","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}
General Tauberian conditions for weighted mean methods of summability
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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