Summability factors between the absolute Cesàro methods

Authors : G Canan HAZAR GÜLEÇ

Pages : 1923-1926

Doi:10.16984/saufenbilder.470493

View : 27 | 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