We obtain order estimates for the best M-term orthogonal trigonometric approximations of the classes \({{B}}^{\Omega }_{{{p},\Theta }}\) of periodic functions of many variables in the metric of the space L q for 1 < q ≤ p < ∞.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 5, pp. 647–656, May, 2008.
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Stasyuk, S.A. Best M-term orthogonal trigonometric approximations of the classes \({\boldsymbol{B}}^{\boldsymbol\Omega }_{{\boldsymbol{p},\boldsymbol\Theta }}\) of periodic functions of many variables. Ukr Math J 60, 744–757 (2008). https://doi.org/10.1007/s11253-008-0089-5
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DOI: https://doi.org/10.1007/s11253-008-0089-5