General inclusion theorems for absolute summability of order k ≥ 1
نویسندگان
چکیده
منابع مشابه
Some inclusion theorems for absolute summability
Inclusion of absolute summability domains of matrices Factorable matrices Summability method of Cesàro a b s t r a c t In this work the inclusion relations between absolute summability domains of a normal matrix A and certain factorable matrices are described. Thus, some classes of factorable matrices transforming the absolute summability domain of A into a set of convergent or absolutely conve...
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In this paper we obtain appropriate necessary and sufficient conditions for |N, pn|k summability to imply that of |N,qn|s for 1< k≤ s<∞. As in [6] we make use of a result of Bennett [1], who has obtained necessary and sufficient conditions for a factorable matrix to map lk → ls. A factorable matrix A is one in which each entry ank = bnck. Weighted mean matrices are factorable. It will not be po...
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2005
ISSN: 1331-4343
DOI: 10.7153/mia-08-46