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

Jinlu Li

 Department of Mathematics, Shawnee State University, Portsmouth 45662, Ohio, USA
Received 10 May 1999; Revised 22 July 1999

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.