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  • Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
  • Volume:22 Issue:6
  • Summability factors between the absolute Cesàro methods

Summability factors between the absolute Cesàro methods

Authors : G Canan HAZAR GÜLEÇ
Pages : 1923-1926
Doi:10.16984/saufenbilder.470493
View : 26 | Download : 8
Publication Date : 2018-12-01
Article Type : Research Paper
Abstract :If Σε_{n}x_{n} is summable by the method Y whenever Σx_{n} is summable by the method X, then we say that the factor ε=insert ignore into journalissuearticles values(ε_{n}); is of type insert ignore into journalissuearticles values(X,Y); and denote by insert ignore into journalissuearticles values(X,Y);. In this study we characterize the sets insert ignore into journalissuearticles values(|C,α|_{k},|C,-1|); , k>1 and insert ignore into journalissuearticles values(|C,-1|,|C,α|_{k}); , k≥1 for α>-1. Also, in the special case, we give some inclusion relations between methods, which completes some open problems in literature.
Keywords : Sequence spaces, Absolute Cesàro summability, Summability Factors

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