Ukrainian Mathematical Journal

, Volume 29, Issue 2, pp 145–152 | Cite as

A property of a class of (¯R, Pn,α) methods for summation of series and Tauberian theorems

  • G. A. Mikhalin
  • L. S. Teslenko


Tauberian Theorem 
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Literature cited

  1. 1.
    G. H. Hardy, Divergent Series, Oxford Univ. Press (1949).Google Scholar
  2. 2.
    N. A. Davydov, “On a property of Cesaro methods for summation of series,” Mat. Sb.,38, No. 4, 509–524 (1956).Google Scholar
  3. 3.
    G. Polya and G. Szegö, Problems and Theorems in Analysis, Springer-Verlag (1975).Google Scholar
  4. 4.
    N. A. Davydov, “The (C)-property of Cesaro and Abel-Poisson methods and Tauberian theorems,” Mat. Sb.,60, No. 2, 185–206 (1963).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • G. A. Mikhalin
    • 1
  • L. S. Teslenko
    • 1
  1. 1.Kiev Pedagogic InstituteUSSR

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