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On inclusion relations for absolute summability
oleh: B. E. Rhoades, Ekrem Savaş
Format: | Article |
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Diterbitkan: | Wiley 2002-01-01 |
Deskripsi
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.