- Proceedings of International Mathematical Sciences
- Volume:3 Issue:2
- Factor relations between some summability methods
Factor relations between some summability methods
Authors : Mehmet Ali SARIGÖL
Pages : 70-74
Doi:10.47086/pims.1016103
View : 33 | Download : 21
Publication Date : 2021-12-30
Article Type : Research Paper
Abstract :In the present paper, using the result of Bennett [1] on characterization of factorable matrices, we give necessary and sufficient conditions in order that Σλ_{n}x_{n} is summable |R,p_{n}|_{s} whenever Σμ_{n}x_{n} is summable |C,0|_{k}, and Σλ_{n}x_{n} is summable |C,0|_{s} whenever Σμ_{n}x_{n} is summable |R,p_{n}|_{r},. where 1Keywords : Infinite series, Riesz and Cesàro mean, summability factors, matrix transformations, bounded linear operator
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