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Matematicheskie Zametki, 2025, Volume 117, Issue 5, Pages 785–789
DOI: https://doi.org/10.4213/mzm14633 (Mi mzm14633) 		 
Brief Communications

Optimal sampling recovery and $\varepsilon$-entropy of Lizorkin–Triebel classes $F^s_{\infty\,q}(\mathbb T^m)$ in $L_r(\mathbb T^m)$

D. B. Bazarkhanov, Sh. A. Balgimbayeva

Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan, Almaty
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DOI: https://doi.org/10.4213/mzm14633
Keywords: smoothness Nikol'skii–Besov/Lizorkin–Triebel space (associated with the Morrey space), $m$-dimensional torus, sampling recovery, (linear) optimal recovery, $\varepsilon$-entropy.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP14869246
Supported by the Ministry of Science and Higher Education of the Republic of Kazakhstan, grant AP14869246.
Received: 17.10.2024
Published: 09.09.2025
English version:
Mathematical Notes, 2025, Volume 117, Issue 5, Pages 868–873
DOI: https://doi.org/10.1134/S0001434625603041
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. B. Bazarkhanov, Sh. A. Balgimbayeva, “Optimal sampling recovery and $\varepsilon$-entropy of Lizorkin–Triebel classes $F^s_{\infty\,q}(\mathbb T^m)$ in $L_r(\mathbb T^m)$”, Mat. Zametki, 117:5 (2025), 785–789; Math. Notes, 117:5 (2025), 868–873
Citation in format AMSBIB
\Bibitem{BazBal25}
\by D.~B.~Bazarkhanov, Sh.~A.~Balgimbayeva
\paper Optimal sampling recovery and $\varepsilon$-entropy of Lizorkin--Triebel classes $F^s_{\infty\,q}(\mathbb T^m)$ in~$L_r(\mathbb T^m)$
\jour Mat. Zametki
\yr 2025
\vol 117
\issue 5
\pages 785--789
\mathnet{http://mi.mathnet.ru/mzm14633}
\crossref{https://doi.org/10.4213/mzm14633}
\transl
\jour Math. Notes
\yr 2025
\vol 117
\issue 5
\pages 868--873
\crossref{https://doi.org/10.1134/S0001434625603041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105015177274}
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