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].

中文翻译：

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绝对双加权平均法的等价性

摘要

Bor[1]、Bor和Thorpe[2]以及作者[8]建立了无穷级数绝对加权平均可和方法等价的充要条件集。在本文中，我们通过二维加权平均将他们的结果扩展到双无穷级数，其中也包括 Rhoades [7] 的结果。