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Double absolute summability factor theorems and applications
Authors:Ekrem Savaş  B.E. Rhoades
Affiliation:1. Istanbul Ticaret University, Department of Mathematics Uskudar, Istanbul, Turkey;2. Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA
Abstract:In an earlier paper the first author [Ekrem Savas, Factors for |A|k|A|k summability of infinite series, Comput. Math. Appl. 53 (7) (2007) 1045–1049. [3]] obtained a summability factor theorem for absolute summability of the order k≥1k1. In this paper we extend that result to doubly infinite matrices.
Keywords:40F05   40D25
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