On inclusion relations for absolute summability
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.
Main Authors: | B. E. Rhoades, Ekrem Savaş |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2002-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171202012425 |
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