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Best M-Term trigonometric approximations of the classes \( B_{p,\theta }^\Omega \) of periodic functions of many variables

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Abstract

We obtain exact order estimates for the best M -term trigonometric approximations of the classes \( B_{p,\theta }^\Omega \) of periodic functions of many variables in the space L q .

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    S. P. Voitenko

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  1. S. P. Voitenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 9, pp. 1189–1199, September, 2009.

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Voitenko, S.P. Best M-Term trigonometric approximations of the classes \( B_{p,\theta }^\Omega \) of periodic functions of many variables. Ukr Math J 61, 1404–1416 (2009). https://doi.org/10.1007/s11253-010-0285-y

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  • DOI: https://doi.org/10.1007/s11253-010-0285-y

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