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On General Summability Factor Theorems
Journal of Inequalities and Applications volume 2007, Article number: 010892 (2007)
Abstract
The goal of this paper is to obtain sufficient and (different) necessary conditions for a series, which is absolutely summable of order by a triangular matrix method,, to be such that is absolutely summable of order by a triangular matrix method. As corollaries, we obtain two inclusion theorems.
References
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Savaş E: Necessary conditions for inclusion relations for absolute summability. Applied Mathematics and Computation 2004,151(2):523–531. 10.1016/S0096-3003(03)00359-X
Savaş E: General inclusion relations for absolute summability. Mathematical Inequalities & Applications 2005,8(3):521–527.
Rhoades BE, Savaş E: On inclusion relations for absolute summability. International Journal of Mathematics and Mathematical Sciences 2002,32(3):129–138. 10.1155/S0161171202012425
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Savaş, E. On General Summability Factor Theorems. J Inequal Appl 2007, 010892 (2007). https://doi.org/10.1155/2007/10892
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DOI: https://doi.org/10.1155/2007/10892