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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 2, Pages 74–92
DOI: https://doi.org/10.26907/0021-3446-2020-2-74-92 (Mi ivm9546) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the best approximation in the mean of functions of a complex variable by Fourier series in the Bergman space

M. Sh. Shabozov, Kh. M. Khuromonov

Tajik National University, 17 Rudaki Ave., Dushanbe, 734025 Tajikistan
Full-text PDF (424 kB) Citations (4)
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DOI: https://doi.org/10.26907/0021-3446-2020-2-74-92
Abstract: We consider the problem of mean-square approximation of analytic functions in simply connected domain of complex plane with Fourier series by orthogonal in the domain of system of functions. For the some class of analytic functions in unit disk the supremum of mean-square approximation given by special module of continuity were calculated.
Keywords: supremum, module of continuity, Jackson–Stechkin inequality, $n$-widths, $\mathscr{K}$-functional.
Received: 13.02.2019
Revised: 13.02.2019
Accepted: 27.03.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 2, Pages 66–83
DOI: https://doi.org/10.3103/S1066369X20020073
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. Sh. Shabozov, Kh. M. Khuromonov, “On the best approximation in the mean of functions of a complex variable by Fourier series in the Bergman space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 2, 74–92; Russian Math. (Iz. VUZ), 64:2 (2020), 66–83
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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