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Summability of diluted series by regular positive matrix methods

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. G. H. Hardy, Divergent Series, The Clarendon Press, Oxford (1963).

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  2. V. I. Mel'nik, Abel Summability of Diluted Series, Ukrainsk. Matem. Zh.,17, No. 6 (1965).

  3. R. Kuk, Infinite Matrices and Sequence Spaces [in Russian], Fizmatgiz, Moscow (1960).

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  4. R. P. Agnew, A Simple Sufficient Condition that a Method of Summability be Stronger than Convergence, Bull. Amer. Math. Soc.,52, 128–132 (1946).

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Authors and Affiliations

  1. Kiev Pedagogical Institute, USSR

    V. F. Vlasenko

Authors
  1. V. F. Vlasenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 19, No. 3, pp. 11–20, May–June, 1967.

In conclusion we wish to thank N. A. Davydov for his guidance, help, and constant interest in the work described in this article.

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Vlasenko, V.F. Summability of diluted series by regular positive matrix methods. Ukr Math J 19, 252–260 (1967). https://doi.org/10.1007/BF01087001

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  • DOI: https://doi.org/10.1007/BF01087001

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