Necessary conditions for inclusion relations for absolute summability

Savas E.

APPLIED MATHEMATICS AND COMPUTATION, vol.151, no.2, pp.523-531, 2004 (SCI-Expanded) identifier identifier


Let 1 < k less than or equal to s < infinity. In this paper we obtain necessary conditions for a series summable \A\(k) to imply that the series is summable \B\(s), where A and B are two lower triangular matrices. We also obtain several corollaries. (C) 2003 Elsevier Inc. All rights reserved.