In this paper, a general theorem on N, p ; β¦ summability factors of infinite k n series has been proved under suitable conditions by using an almost increasing sequence.
Absolute riesz summability factors of infinite series
β Scribed by G. C. N. Kulsherstha
- Publisher
- Springer-Verlag
- Year
- 1965
- Tongue
- French
- Weight
- 235 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
In this work we characterize translativity of the summability |R, p n | k , k > 1, for any sequence (p n ) without imposing the conditions given by Orhan [C. Orhan, Translativity of absolute weighted mean summability, Czechoslovak Math. J. 48 (1998) 755-761], and so deduce some known results.
of Denton (Texas) (Eingegangen am 4.6. 1971) ## 1. Definitions Let a, be a giveninfinite series and let A, = il (n) be a positive inonotonic function of n tending t o infinity with n. We write The series z c n , i s said to he summable (R, An, r ) , r 2 0, t o sum s, if A > ( w ) / w ' --+ s, as