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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 8, Pages 1298–1307 (Mi zvmmf259)  
This article is cited in 1 scientific paper (total in 1 paper)

On expansions of functions of two variables in mixed Fourier–Jacobi series and their application for estimation of errors of cubature formulas

V. A. Abilova, G. A. Djalaevaa, M. K. Kerimovb

a Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025, Russia
b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, GSP-1, Moscow, 119991, Russia
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Abstract: Some problems of expansion of functions of two variables in mixed Fourier–Jacobi series are discussed. In particular, estimates of the convergence rate of these series on classes of functions of two variables characterized by generalized moduli of continuity are given. Applications of these results and estimation of residues of some Chebyshev-type mixed cubature formulas are discussed.
Key words: mixed Fourier–Jacobi series, convergence problems, estimates of residual terms, diameters, absolute convergence conditions.
Received: 16.03.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 8, Pages 1243–1252
DOI: https://doi.org/10.1134/S0965542507080039
Bibliographic databases:
Document Type: Article
UDC: 517.518.475+519.644.7
Language: Russian
Citation: V. A. Abilov, G. A. Djalaeva, M. K. Kerimov, “On expansions of functions of two variables in mixed Fourier–Jacobi series and their application for estimation of errors of cubature formulas”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007), 1298–1307; Comput. Math. Math. Phys., 47:8 (2007), 1243–1252
Citation in format AMSBIB
\Bibitem{AbiDjaKer07}
\by V.~A.~Abilov, G.~A.~Djalaeva, M.~K.~Kerimov
\paper On expansions of functions of two variables in mixed Fourier--Jacobi series and their application for estimation of errors of cubature formulas
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 8
\pages 1298--1307
\mathnet{http://mi.mathnet.ru/zvmmf259}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378176}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 8
\pages 1243--1252
\crossref{https://doi.org/10.1134/S0965542507080039}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548418064}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i8/p1298
    • This publication is cited in the following 1 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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    References:81
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