Summability factors between the absolute Cesàro methods

Year 2018, Volume: 22 Issue: 6, 1923 - 1926, 01.12.2018

G. Canan Hazar Güleç

https://doi.org/10.16984/saufenbilder.470493

https://izlik.org/JA27GY36ZK

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

References

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