On equivalence of absolute double weighted mean methods

Abstract

Bor [1], Bor and Thorpe [2] and the author [8] established the set of necessary and sufficient condition for the equivalence of absolute weighted mean summability methods of infinite series. In the present paper we extend their result to doubly infinite series by two dimensional weighted mean, which also includes the result of Rhoades [7].

Mathematics Subject Classification (2010):

• Primary: 40C05
• 40D25
• 40F05
• 46A45

Key words:

• Double series
• absolute weighted mean
• matrix transformations