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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 2, Pages 322–337 (Mi smj2640)  
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear approximation of function spaces of mixed smoothness

Sh. A. Balgimbayeva

Institute of Mathematics, Ministry of Education and Science, Almaty, Republic of Kazakhstan
Full-text PDF (357 kB) Citations (1)
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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 $\mathrm{SB}^r_{p\theta}(\mathbb T^d)$ and the Lizorkin–Triebel classes $\mathrm{SF}^r_{p\theta}(\mathbb T^d)$ of functions of mixed smoothness.
Keywords: best $m$-term approximation, greedy algorithm, periodic wavelet, Nikolskiĭ–Besov spaces, mixed smoothness.
Received: 24.06.2013
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 2, Pages 262–274
DOI: https://doi.org/10.1134/S0037446615020068
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: Sh. A. Balgimbayeva, “Nonlinear approximation of function spaces of mixed smoothness”, Sibirsk. Mat. Zh., 56:2 (2015), 322–337; Siberian Math. J., 56:2 (2015), 262–274
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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