An absolute double summability factor theorem

In an earlier paper Savas and Rhoades [Ekrem Savaş, B.E. Rhoades, A note on | A | k summability factors, Nonlinear Anal. 66 (2007) 1879–1883. [1]] obtained a summability factor theorem for absolute summability of order k ≥ 1 . In this paper we extend that result to doubly infinite matrices.