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Ukrainian Mathematical Journal

, Volume 33, Issue 3, pp 274–282 | Cite as

Simultaneous approximation of periodic functions and their derivatives by fourier sums

  • A. I. Stepanets
Article

Keywords

Periodic Function Simultaneous Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

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    A. N. Kolmogorov, “On the order of magnitude of the remainder of Fourier series of differentiable functions,” Ann. Math.,36, 521–526 (1935).Google Scholar
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    S. M. Nikol'skii, “On certain methods of approximation by trigonometric sums,” Izv. Akad. Nauk SSSR, Ser. Mat.,4, No. 6, 509–520 (1940).Google Scholar
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    S. M. Nikol'skii, “Approximation of periodic functions by trigonometric polynomials,” Tr. Mat. Inst. Akad. Nauk SSSR, No. 15, 3–76 (1945).Google Scholar
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    A. Zygmund, Trigonometric Series, Vol. 2, Warsaw (1935).Google Scholar
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    Tables of Integral Sine and Cosine [in Russian], Nauka, Moscow (1956).Google Scholar
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    V. K. Dzyadyk and A. I. Stepanets, “On series of zeros of integral sine,” Metrich. Vopr. Teor. Funkts. Otobrazh., No. 2, 64–73 (1971).Google Scholar
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    N. P. Korneichuk, Extremal Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).Google Scholar
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    A. I. Stepanets, “Simultaneous approximation of periodic functions and their derivatives by Fourier sums,” Dokl. Akad. Nauk SSSR,254, No. 3, 543–544.Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • A. I. Stepanets
    • 1
  1. 1.Institute of MathematicsAcademy of Sciences of the Ukrainian SSRUSSR

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