A limitation theorem for absolute summability
نویسندگان
چکیده
منابع مشابه
a generalized summability factor theorem for absolute summability and quasi power increasing sequences
the object of this paper is to establish a summability factor theorem for summabilitya, , k 1 k where a is the lower triangular matrix with non-negative entries satisfying certain conditions.
متن کاملa summability factor theorem for absolute summability involving quasi power increasing sequences
we obtain sufficient conditions for the series σanλn to be absolutely summable of order k by atriangular matrix.
متن کاملA summability factor theorem involving an almost increasing sequence for generalized absolute summability
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.
متن کاملA 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 ...
متن کاملA Generalization Theorem Covering Many Absolute Summability Methods
A general theorem concerning many absolute summability methods is proved. 2000 Mathematics Subject Classification. 40F05, 40G05, 40D15, 40D25.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1971
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1971-0277955-3