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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 9, Pages 1545–1565 (Mi zvmmf409)  
This article is cited in 5 scientific papers (total in 5 papers)

Some estimates for the error in mixed Fourier–Bessel expansions of functions of two variables

V. A. Abilova, M. K. Kerimovb

a Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025, Russia
b Dorodnitsyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
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Abstract: Some issues concerning expansions of functions of two variables in mixed Fourier–Bessel series are considered. In particular, the rate of their convergence in the classes of functions characterized by generalized moduli of continuity are estimated, and estimates of the remainder terms are obtained.
Key words: mixed Fourier–Bessel series, estimates of remainder terms, widths, absolute convergence conditions for Fourier series.
Received: 14.04.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 9, Pages 1465–1486
DOI: https://doi.org/10.1134/S0965542506090028
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: V. A. Abilov, M. K. Kerimov, “Some estimates for the error in mixed Fourier–Bessel expansions of functions of two variables”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006), 1545–1565; Comput. Math. Math. Phys., 46:9 (2006), 1465–1486
Citation in format AMSBIB
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\by V.~A.~Abilov, M.~K.~Kerimov
\paper Some estimates for the error in mixed Fourier--Bessel expansions of functions of two variables
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 9
\pages 1545--1565
\mathnet{http://mi.mathnet.ru/zvmmf409}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2287657}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 9
\pages 1465--1486
\crossref{https://doi.org/10.1134/S0965542506090028}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33749039945}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :219
    References:84
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