Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (758 kB) Citations (1)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf259
  • 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
    Statistics & downloads:
    Abstract page:429
    Full-text PDF :323
    References:75
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024