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On Inclusion Relations for Absolute Summability

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Date

2002

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Abstract

We obtain necessary and (different) sufficient conditions for a series summable | N−, pn|k, 1<k≤s<∞, to imply that the series is summable |T|s, where (N−, pn) is a weighted mean matrix and T is a lower triangular matrix. As corollaries of this result, we obtain several inclusion theorems. © 2002 Hindawi Publishing Corporation. All rights reserved.

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N/A

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Source

International Journal of Mathematics and Mathematical Sciences

Volume

32

Issue

3

Start Page

129

End Page

138