We obtain exact-order estimates for the best orthogonal trigonometric approximations of the classes B Ω p,θ of periodic functions of many variables in the space L q .
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 11, pp. 1473–1484, November, 2009.
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Voitenko, S.P. Best orthogonal trigonometric approximations of the classes B Ω p,θ of periodic functions of many variables. Ukr Math J 61, 1728–1742 (2009). https://doi.org/10.1007/s11253-010-0309-7
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DOI: https://doi.org/10.1007/s11253-010-0309-7