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Matematicheskie Zametki, 2025, Volume 118, Issue 2, Pages 325–329
DOI: https://doi.org/10.4213/mzm14574 (Mi mzm14574) 		 
Brief Communications

The Jackson–Stechkin inequality in the space $C$ with nonclassic modulus of continuity

S. E. Nohrin, V. T. Shevaldin

N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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DOI: https://doi.org/10.4213/mzm14574
Keywords: trigonometric polynomial, best approximation, modulus of continuity, Jackson–Stechkin inequality, Jackson type kernel.
Received: 24.11.2024
Revised: 11.03.2025
Published: 11.08.2025
English version:
Mathematical Notes, 2025, Volume 118, Issue 2, Pages 409–414
DOI: https://doi.org/10.1134/S0001434625603648
Document Type: Article
Language: Russian
Citation: S. E. Nohrin, V. T. Shevaldin, “The Jackson–Stechkin inequality in the space $C$ with nonclassic modulus of continuity”, Mat. Zametki, 118:2 (2025), 325–329; Math. Notes, 118:2 (2025), 409–414
Citation in format AMSBIB
\Bibitem{NohShe25}
\by S.~E.~Nohrin, V.~T.~Shevaldin
\paper The Jackson--Stechkin inequality in the space~$C$ with nonclassic modulus of continuity
\jour Mat. Zametki
\yr 2025
\vol 118
\issue 2
\pages 325--329
\mathnet{http://mi.mathnet.ru/mzm14574}
\crossref{https://doi.org/10.4213/mzm14574}
\transl
\jour Math. Notes
\yr 2025
\vol 118
\issue 2
\pages 409--414
\crossref{https://doi.org/10.1134/S0001434625603648}
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