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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 6, Pages 917–927
DOI: https://doi.org/10.7868/S0044466915060022 (Mi zvmmf10215) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Sharp estimates for the convergence rate of Fourier–Bessel series

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

a Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025, Russia
b Dagestan State Technical University, pr. Shamilya 70, Makhachkala, 367015, Russia
c Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (203 kB) Citations (7) English version article
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DOI: https://doi.org/10.7868/S0044466915060022
Abstract: Sharp estimates are derived for the convergence rate of Fourier series in terms of Bessel functions of the first kind for some classes of functions characterized by a generalized modulus of continuity. The Kolmogorov $N$-width of these classes of functions are also estimated.
Key words: Bessel functions, Fourier–Bessel series, generalized modulus of continuity, Kolmogorov $N$-width, sharp estimates for convergence rates of series.
Received: 21.01.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 6, Pages 907–916
DOI: https://doi.org/10.1134/S0965542515060020
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Sharp estimates for the convergence rate of Fourier–Bessel series”, Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015), 917–927; Comput. Math. Math. Phys., 55:6 (2015), 907–916
Citation in format AMSBIB
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    • This publication is cited in the following 7 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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    References:156
    First page:32
     
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