Abstract
We study the approximative properties of L q -greedy algorithms with respect to the wellknown system U d of shifts of Dirichlet kernels on the Nikol′skiĭ-Besov classes \(SB_{p\theta }^r (\mathbb{T}^d )\) and the Lizorkin-Triebel classes \(SF_{p\theta }^r (\mathbb{T}^d )\) of functions of mixed smoothness.
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The author was supported by Grants 0740/GF and 0245/GF3 of the Ministry of Education and Science of the Republic of Kazakhstan.
Almaty. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 2, pp. 322–337, March–April, 2015.
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Balgimbayeva, S.A. Nonlinear approximation of function spaces of mixed smoothness. Sib Math J 56, 262–274 (2015). https://doi.org/10.1134/S0037446615020068
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DOI: https://doi.org/10.1134/S0037446615020068