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Chebyshevskii Sbornik, 2024, Volume 25, Issue 3, Pages 177–186
DOI: https://doi.org/10.22405/2226-8383-2024-25-3-177-186 (Mi cheb1452) 		 
Estimates of approximations of functions by trigonometric polynomials in spaces with an asymmetric norm and sign-sensitive weight

A. I. Kozkoab

a Lomonosov Moscow State University (Moscow)
b Moscow center of fundamental and applied mathematics (Moscow)
Full-text PDF (599 kB)
DOI: https://doi.org/10.22405/2226-8383-2024-25-3-177-186
Abstract: In approximation theory, the problems of finding an estimate of the best approximation through the structural properties of the approximated function are well known. The work is devoted to such problems in spaces with an asymmetric norm and sign-sensitive weights.
Keywords: asymmetric norm, sign-sensitive weight, Jackson—Stechkin theorems, modulus of continuity, modulus of smoothness, best approximation.
Received: 07.03.2024
Accepted: 04.09.2024
Document Type: Article
UDC: 517.518.83
Language: Russian
Citation: A. I. Kozko, “Estimates of approximations of functions by trigonometric polynomials in spaces with an asymmetric norm and sign-sensitive weight”, Chebyshevskii Sb., 25:3 (2024), 177–186
Citation in format AMSBIB
\Bibitem{Koz24}
\by A.~I.~Kozko
\paper Estimates of approximations of functions by trigonometric polynomials in spaces with an asymmetric norm and sign-sensitive weight
\jour Chebyshevskii Sb.
\yr 2024
\vol 25
\issue 3
\pages 177--186
\mathnet{http://mi.mathnet.ru/cheb1452}
\crossref{https://doi.org/10.22405/2226-8383-2024-25-3-177-186}
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