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Imbedding in the class eL

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Abstract

Conditions which must be satisfied by the modulus of continuity and smoothness of a functionf(x) ∈ Lp(0, 2π) in order thatf(x) or\(\tilde f\)(x) belong to the class eL are obtained.

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Authors and Affiliations

  1. Odessa State University, USSR

    É. A. Storozhenko

Authors
  1. É. A. Storozhenko
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Translated from Matematicheskie Zametki, Vol. 10, No. 1, pp. 17–24, July, 1971.

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Storozhenko, É.A. Imbedding in the class eL . Mathematical Notes of the Academy of Sciences of the USSR 10, 434–438 (1971). https://doi.org/10.1007/BF01747065

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  • DOI: https://doi.org/10.1007/BF01747065

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