A study on a relation between two summability methods
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- by W. T. Sulaiman PDF
- Proc. Amer. Math. Soc. 115 (1992), 303-312 Request permission
Abstract:
Bor (1985, 1986) gave a relation between the two summability methods ${\left | {C,1} \right |_k}$ and $|\overline N ,{p_n}{|_k}$ of a series $\Sigma a_n$. These two methods are known to be independent. Generalizing the case, here we introduce relations between the two summability methods ${\left | {C,\alpha } \right |_k}$ and $|\overline N ,{p_n}{|_k}$ using multipliers sequence $\left \{ {{\varepsilon _n}} \right \}$.References
- Hüseyin Bor, On two summability methods, Math. Proc. Cambridge Philos. Soc. 97 (1985), no. 1, 147–149. MR 764503, DOI 10.1017/S030500410006268X
- Hüseyin Bor, A note on two summability methods, Proc. Amer. Math. Soc. 98 (1986), no. 1, 81–84. MR 848880, DOI 10.1090/S0002-9939-1986-0848880-2
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 303-312
- MSC: Primary 40D25
- DOI: https://doi.org/10.1090/S0002-9939-1992-1056685-8
- MathSciNet review: 1056685