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Absolute summability of infinite series

  • C Orhan
  • M A Sarigöl
Article
  • 37 Downloads

Abstract

It is shown in [4] that if a normal matrix,A satisfies some conditions then |C,1| k summability implies |A| k summability wherek≥1. In the present paper, we consider the converse implication.

Keywords

Normal matrix |C,1|k summability |C|k summability 

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References

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    Flett T M, On an extension of absolute summability and theorems of Littlewood and Paley,Proc. London Math. Soc. 7 (1957) 113–141MATHCrossRefMathSciNetGoogle Scholar
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    Kogbetliantz E, Sur les series absolument sommables par la methode des moyennes arithmetiques,Bull. Sci. Math. 49 (1925) 234–256Google Scholar
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    Orhan C, On absolute summability,Bull. Inst. Math. Acad. Sinica 15 (1987) 433–437MATHMathSciNetGoogle Scholar
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    Orhan C, On equivalence of summability methods,Math. Slovaca 40 (1990) 171–175MATHMathSciNetGoogle Scholar

Copyright information

© Indian Academy of Sciencess 1995

Authors and Affiliations

  • C Orhan
    • 1
  • M A Sarigöl
    • 2
  1. 1.Department of Mathematics, Faculty of ScienceAnkara UniversityAnkaraTurkey
  2. 2.Department of MathematicsErciyes UniversityKayseriTurkey

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