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Approximation of Some Classes of Set-Valued Periodic Functions by Generalized Trigonometric Polynomials

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Ukrainian Mathematical Journal Aims and scope

We generalize some known results on the best, best linear, and best one-sided approximations by trigonometric polynomials from the classes of 2π-periodic functions represented in the form of convolutions to the case of classes of set-valued functions.

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Authors and Affiliations

  1. Gonchar Dnepropetrovsk National University, Dnepropetrovsk, Ukraine

    V. F. Babenko & M. V. Polishchuk

  2. University of Utah, Salt Lake City, USA

    V. V. Babenko

Authors
  1. V. F. Babenko
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  2. V. V. Babenko
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  3. M. V. Polishchuk
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 4, pp. 449–459, April, 2016.

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Babenko, V.F., Babenko, V.V. & Polishchuk, M.V. Approximation of Some Classes of Set-Valued Periodic Functions by Generalized Trigonometric Polynomials. Ukr Math J 68, 502–514 (2016). https://doi.org/10.1007/s11253-016-1237-y

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  • DOI: https://doi.org/10.1007/s11253-016-1237-y

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