International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 8, Pages 533-538
doi:10.1155/S0161171200003732

Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods

Abstract

We prove the necessary and sufficient conditions for an infinity matrix to be a mapping, from absolutely convergent series to convergent sequences, which is treated as general weighted mean summability methods. The results include a classical result by Hardy and another by Moricz and Rhoades as particular cases.