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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 7, Pages 1051–1057
DOI: https://doi.org/10.7868/S0044466913070028 (Mi zvmmf9818) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Some issues concerning approximations of functions by Fourier–Bessel sums

V. A. Abilova, F. V. Abilovab, M. K. Kerimovc

a Daghestan State University
b Daghestan State Technical University
c Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
Full-text PDF (197 kB) Citations (9)
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DOI: https://doi.org/10.7868/S0044466913070028
Abstract: Some issues concerning the approximation of one-variable functions from the class $\mathbb{L}_2$ by $n$th-order partial sums of Fourier–Bessel series are studied. Several theorems are proved that estimate the best approximation of a function characterized by the generalized modulus of continuity.
Key words: partial sums of Fourier–Bessel series, approximation of functions from $\mathbb{L}_2$ by Fourier–Bessel series, averaging operator, generalized modulus of continuity, estimate of approximation.
Received: 11.03.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 7, Pages 867–873
DOI: https://doi.org/10.1134/S0965542513070026
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Some issues concerning approximations of functions by Fourier–Bessel sums”, Zh. Vychisl. Mat. Mat. Fiz., 53:7 (2013), 1051–1057; Comput. Math. Math. Phys., 53:7 (2013), 867–873
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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