- Proceedings of International Mathematical Sciences
- Vol: 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 : 9 | Download : 14
Publication Date : 2021-12-30
Article Type : Research
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