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A summability factor theorem and applications
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DOI：10.1016/S0096-3003(03)00620-9.png)
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Abstract
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We obtain sufficient conditions for the series Sigma a(n), which is absolutely summable of order k by a weighted mean method, to be such that Sigma epsilon(n)a(n) is absolutely summable of order k by a triangular matrix. As corollaries we obtain a number of inclusion theorems. (C) 2003 Elsevier Inc. All rights reserved.
Keywords:
absolute summability
weighted mean matrix
Cesaro matrix
summability factor
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