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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 302, Pages 178–187 (Mi znsl932)  
This article is cited in 7 scientific papers (total in 7 papers)

Polynomial approximations on closed subsets of elliptic curves

A. V. Khaustov, N. A. Shirokov

Saint-Petersburg State University
Full-text PDF (178 kB) Citations (7)
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Abstract: Approximation of Hölder functions on subsets of elliptic curves using polynomials is considered. An equivalent problem of approximation on the complex plane with the use of doubly periodic functions is introduced. A direct approximation theorem is proved.
Received: 17.11.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 129, Issue 3, Pages 3916–3921
DOI: https://doi.org/10.1007/s10958-005-0328-3
Bibliographic databases:
UDC: 539.12
Language: Russian
Citation: A. V. Khaustov, N. A. Shirokov, “Polynomial approximations on closed subsets of elliptic curves”, Analytical theory of numbers and theory of functions. Part 19, Zap. Nauchn. Sem. POMI, 302, POMI, St. Petersburg, 2003, 178–187; J. Math. Sci. (N. Y.), 129:3 (2005), 3916–3921
Citation in format AMSBIB
\Bibitem{KhaShi03}
\by A.~V.~Khaustov, N.~A.~Shirokov
\paper Polynomial approximations on closed subsets of elliptic curves
\inbook Analytical theory of numbers and theory of functions. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 302
\pages 178--187
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl932}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2023040}
\zmath{https://zbmath.org/?q=an:05312800}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 129
\issue 3
\pages 3916--3921
\crossref{https://doi.org/10.1007/s10958-005-0328-3}
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  • https://www.mathnet.ru/eng/znsl/v302/p178
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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