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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 3, Pages 11–19
DOI: https://doi.org/10.55959/MSU0579-9368-1-65-3-2 (Mi vmumm4603) 		 
Mathematics

Value of n-width of some classes of analytic functions in the Bergman space B2

M. Sh. Shabozova, A. A. Shabozovaa, E. U. Kadamshoevb

a Tajik National University, Dushanbe
b Technology University of Tajikistan, Dushanbe
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DOI: https://doi.org/10.55959/MSU0579-9368-1-65-3-2
Abstract: The sharp values of some known n-widths of classes of functions analytical in a unit disk in the Bergman space given by characteristic of smoothness Λm(f) and majorant Φ satisfying certain restrictions were found.
Key words: the best polynomial approximation, the characteristic smoothness, Bergman space, n-widths.
Received: 15.03.2023
English version:
Moscow University Mathematics Bulletin, 2024, Volume 79, Issue 3, Pages 112–121
DOI: https://doi.org/10.3103/S0027132224700165
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. Sh. Shabozov, A. A. Shabozova, E. U. Kadamshoev, “Value of n-width of some classes of analytic functions in the Bergman space B2”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 3, 11–19; Moscow University Mathematics Bulletin, 79:3 (2024), 112–121
Citation in format AMSBIB
\Bibitem{ShaShaKad24}
\by M.~Sh.~Shabozov, A.~A.~Shabozova, E.~U.~Kadamshoev
\paper Value of $n$-width of some classes of analytic functions in the Bergman space $B_{2}$
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 3
\pages 11--19
\mathnet{http://mi.mathnet.ru/vmumm4603}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-65-3-2}
\elib{https://elibrary.ru/item.asp?id=67916238}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2024
\vol 79
\issue 3
\pages 112--121
\crossref{https://doi.org/10.3103/S0027132224700165}
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