Ukrainian Mathematical Journal

, Volume 27, Issue 2, pp 182–186 | Cite as

A condition of equivalence of logarithmic methods of summation

  • A. P. Kokhanovskii
Brief Communications


Logarithmic Method 
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Literature cited

  1. 1.
    K. Ishiguro, “A converse theorem on the summability methods,” Proc. Japan Acad.,39, No. 1 (1963).Google Scholar
  2. 2.
    G. B. Dwight, Tables of Integrals and other Mathematical Data, Macmillan, New York (1961).Google Scholar
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    G. E. Shilov and B. L. Gurevich, Integral, Measure, and Derivative [English translation], Prentice Hall, Englewood Cliffs (1966).Google Scholar
  4. 4.
    I. P. Natanson, Theory of Functions of a Real Variable [English translation], Ungar, New York (1955).Google Scholar
  5. 5.
    A. P. Kokhanovskii, “Theorems of Tauberian type for a semicontinuous logarithmic method of summation of series,” Ukrainskii Matem. Zh.,26, No. 6 (1974).Google Scholar
  6. 6.
    V. I. Mel'nik, “On the summation of series by the Cesaro and Abel-Poisson methods,” Matem. Sb.,67(109), No. 4 (1965).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • A. P. Kokhanovskii
    • 1
  1. 1.Kiev Pedagogical InstituteUSSR

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