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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 3, Pages 617–632
DOI: https://doi.org/10.1070/IM1969v003n03ABEH000793 (Mi im2163) 		 
This article is cited in 14 scientific papers (total in 15 papers)

A Chebyshev theorem for the approximation of a function of two variables by sums of the type $\varphi(x)+\psi(y)$

S. Ya. Havinson
English version PDF (737 kB) Citations (15) Russian version article
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DOI: https://doi.org/10.1070/IM1969v003n03ABEH000793
Abstract: Criteria are obtained for sums of the form$\varphi(x)+\psi(y)$ to deviate by the smallest possible amount from a given function $f(x, y)$ in various metrics.
Received: 28.12.1967
Bibliographic databases:
UDC: 517.5
MSC: 41A50, 26Bxx, 28A05
Language: English
Original paper language: Russian
Citation: S. Ya. Havinson, “A Chebyshev theorem for the approximation of a function of two variables by sums of the type $\varphi(x)+\psi(y)$”, Math. USSR-Izv., 3:3 (1969), 617–632
Citation in format AMSBIB
\Bibitem{Hav69}
\by S.~Ya.~Havinson
\paper A~Chebyshev theorem for the approximation of a~function of two variables by sums of the type $\varphi(x)+\psi(y)$
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 3
\pages 617--632
\mathnet{http://mi.mathnet.ru//eng/im2163}
\crossref{https://doi.org/10.1070/IM1969v003n03ABEH000793}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=262746}
\zmath{https://zbmath.org/?q=an:0185.30702|0206.34703}
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  • https://www.mathnet.ru/eng/im/v33/i3/p650
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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