A summability factor theorem involving an almost increasing sequence for generalized absolute summability
نویسنده
چکیده
In this paper we prove a general theorem on |A; δ|k -summability factors of infinite series under suitable conditions by using an almost increasing sequence, where A is a lower triangular matrix with non-negative entries. Also, we deduce a similar result for the weighted mean method. c © 2007 Elsevier Ltd. All rights reserved.
منابع مشابه
A summability factor theorem for absolute summability involving almost increasing sequences
A triangle is a lower triangular matrix with all principal diagonal entriesbeing nonzero. Given an almost increasing sequence {Xn} and a sequence {λn} satisfying certain conditions, we obtain sufficient conditions for the series ∑ anλn to be absolutely summable of order k ≥ 1 by a triangle T . As a corollary we obtain the corresponding result when T is a weighted mean matrix. Theorem 1 of this ...
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 54 شماره
صفحات -
تاریخ انتشار 2007