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


Periodic Function Simultaneous Approximation 
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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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