On the summability factors of infinite series |
| |
Authors: | Shri Nivas Bhatt |
| |
Affiliation: | 1. Allahabad, India
|
| |
Abstract: | The author has established that if [λn] is a convex sequence such that the series Σn -1λn is convergent and the sequence {K n} satisfies the condition |K n|=O[log(n+1)]k(C, 1),k?0, whereK n denotes the (R, logn, 1) mean of the sequence {n log (n+1)a n}, then the series Σlog(n+1)1-kλn a n is summable |R, logn, 1|. The result obtained for the particular casek=0 generalises a previous result of the author [1]. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|