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  • Research Article
  • Open Access

On General Summability Factor Theorems

Journal of Inequalities and Applications20072007:010892

https://doi.org/10.1155/2007/10892

  • Received: 17 August 2006
  • Accepted: 2 January 2007
  • Published:

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.

Keywords

  • Matrix Method
  • Triangular Matrix
  • Factor Theorem
  • General Summability
  • Inclusion Theorem

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Science and Arts, Istanbul Ticaret University, Uskudar, Istanbul, 34672, Turkey

References

  1. Savaş E: On absolute summability factors. The Rocky Mountain Journal of Mathematics 2003,33(4):1479–1485. 10.1216/rmjm/1181075476MathSciNetView ArticleMATHGoogle Scholar
  2. 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-XMathSciNetView ArticleMATHGoogle Scholar
  3. Savaş E: General inclusion relations for absolute summability. Mathematical Inequalities & Applications 2005,8(3):521–527.MathSciNetMATHGoogle Scholar
  4. Rhoades BE, Savaş E: On inclusion relations for absolute summability. International Journal of Mathematics and Mathematical Sciences 2002,32(3):129–138. 10.1155/S0161171202012425MathSciNetView ArticleMATHGoogle Scholar

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