Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 143, Pages 40–47 (Mi into261)  
Approximation of infinitely differentiable functions in unbounded convex domains by polynomials in weighted spaces

I. Kh. Musin

Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
Full-text PDF (171 kB)
Abstract: We examine the problem of polynomial approximation in the space of infinitely differentiable functions in an unbounded convex domain in ${\mathbb R}^n$ that have a prescribed growth rate near the boundary of the domain and at infinity.
Keywords: approximation by polynomials, infinitely differentiable function.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-01661
This work was partially supported by the Russian Foundation for Basic Research (project No. 15-01-01661).
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 1, Pages 40–47
DOI: https://doi.org/10.1007/s10958-020-04675-7
Bibliographic databases:
Document Type: Article
UDC: 517.518.822
MSC: 41A10
Language: Russian
Citation: I. Kh. Musin, “Approximation of infinitely differentiable functions in unbounded convex domains by polynomials in weighted spaces”, Differential equations. Mathematical analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 143, VINITI, M., 2017, 40–47; Journal of Mathematical Sciences, 245:1 (2020), 40–47
Citation in format AMSBIB
\Bibitem{Mus17}
\by I.~Kh.~Musin
\paper Approximation of infinitely differentiable functions in unbounded convex domains by polynomials in weighted spaces
\inbook Differential equations. Mathematical analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 143
\pages 40--47
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into261}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801358}
\zmath{https://zbmath.org/?q=an:07248384}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 1
\pages 40--47
\crossref{https://doi.org/10.1007/s10958-020-04675-7}
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