منابع مشابه
The Abel-type Transformations Into
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 , ...
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Lemma introduced the Abel-type matrix Aα,t defined by ank = ( k+α k ) tk+1 n (1− tn)α+1, where α>−1, 0< tn < 1, for all n, and limtn = 1; and studied it as mappings into . In this paper, we extend our study of this matrix and investigate its translativity in the setting.
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2001
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171201006512