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Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 3, Pages 568–586
DOI: https://doi.org/10.1070/IM1970v004n03ABEH000922 (Mi im2436) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Approximation of functions of $n$ variables by quasipolynomials

Yu. A. Brudnyi
English version PDF (772 kB) Citations (19)
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DOI: https://doi.org/10.1070/IM1970v004n03ABEH000922
Abstract: Approximation of functions of $n$ variables is studied by means of infinite-dimensional subspaces of singular functions of a special form (quasipolynomials). In particular, best approximation is examined by means of these subspaces, and both direct and converse theorems are proved.
Received: 30.04.1969
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1970, Volume 34, Issue 3, Pages 564–583
Bibliographic databases:
UDC: 517.5
MSC: 41A10, 41A30, 41A50
Language: English
Original paper language: Russian
Citation: Yu. A. Brudnyi, “Approximation of functions of $n$ variables by quasipolynomials”, Izv. Akad. Nauk SSSR Ser. Mat., 34:3 (1970), 564–583; Math. USSR-Izv., 4:3 (1970), 568–586
Citation in format AMSBIB
\Bibitem{Bru70}
\by Yu.~A.~Brudnyi
\paper Approximation of functions of~$n$ variables by quasipolynomials
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1970
\vol 34
\issue 3
\pages 564--583
\mathnet{http://mi.mathnet.ru/im2436}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=265824}
\zmath{https://zbmath.org/?q=an:0196.08401}
\transl
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 3
\pages 568--586
\crossref{https://doi.org/10.1070/IM1970v004n03ABEH000922}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:206
    English version PDF:33
    References:95
    First page:1
     
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