- Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 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 : 17 | Download : 8
Publication Date : 2018-12-01
Article Type : Other
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=(ε_{n}) is of type (X,Y) and denote by (X,Y). In this study we characterize the sets (|C,α|_{k},|C,-1|) , k>1 and (|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