The Abel-type Transformations Into
نویسنده
چکیده
Let t be a sequence in (0,1) that converges to 1, and define the Abel-type matrix Aα,t by ank = ( k+α k ) tk+1 n (1−tn)α+1 for α>−1. The matrix Aα,t determines a sequenceto-sequence variant of the Abel-type power series method of summability introduced by Borwein in [1]. The purpose of this paper is to study these matrices as mappings into . Necessary and sufficient conditions for Aα,t to be , G, and Gw are established. Also, the strength of Aα,t in the setting is investigated.
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تاریخ انتشار 1999