Articles

A NOTE ON GENERALIZED ABSOLUTE SUMMABILITY FACTORS FOR A TRIANGULAR MATRIX

  • Ekrem Savas
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  • Department of Mathematics, Istanbul Ticaret University, ¨Usk¨udar, Istanbul-Turkey

Received date: 2009-03-04

  Revised date: 2010-04-28

  Online published: 2011-07-20

Abstract

In this paper, a general theorem on |Aδ|k-summability factors of infinite series is proved under different conditions.

Cite this article

Ekrem Savas . A NOTE ON GENERALIZED ABSOLUTE SUMMABILITY FACTORS FOR A TRIANGULAR MATRIX[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1513 -1516 . DOI: 10.1016/S0252-9602(11)60337-8

References

[1] Flett T M. On an extension of absolute summability and some theorems of Littlewood and Paley. Proc London Math Soc, 1957, 7: 113–141

[2] Rhoades B E, Savas E. A summability factor theorem for generalized absolute summability. Real Anal and Exchange, 2005/2006, 31(2): 355–363

[3] Savas E. A study on absolute summability factors for a triangular matrix. Math Ineq and Appl, 2009, 12(1): 141–146

Outlines

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