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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 6, Pages 1414–1423
DOI: https://doi.org/10.33048/smzh.2019.60.618 (Mi smj3159) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Best linear approximation methods for some classes of analytic functions on the unit disk

M. Sh. Shabozovab, M. R. Langarshoevb

a University of Central Asia
b Tajik National University, Dushanbe
Full-text PDF (416 kB) Citations (4)
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DOI: https://doi.org/10.33048/smzh.2019.60.618
Abstract: Considering Banach Hardy spaces and weighted Bergman spaces, we find the sharp values of the Bernstein, Kolmogorov, Gelfand, and linear n-widths for the classes of analytic functions on the unit disk whose moduli of continuity of the rth derivatives averaged with weight are majorized by a given function satisfying some constraints.
Received: 09.01.2017
Revised: 31.05.2019
Accepted: 24.07.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 6, Pages 1101–1108
DOI: https://doi.org/10.1134/S0037446619060181
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. Sh. Shabozov, M. R. Langarshoev, “Best linear approximation methods for some classes of analytic functions on the unit disk”, Sibirsk. Mat. Zh., 60:6 (2019), 1414–1423; Siberian Math. J., 60:6 (2019), 1101–1108
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
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:26
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