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Matematicheskie Zametki, 1969, Volume 5, Issue 2, Pages 217–226 (Mi mzm6826)  
Best approximations of functions of several variables by sums of functions of fewer variables

V. M. Mordashev

I. V. Kurchatov Institute of Atomic Energy
Full-text PDF (551 kB)
Abstract: The minimum of the mean-square deviation of approximations of functions of several independent variables by sums of functions of fewer variables in a multidimensional parallelepiped is investigated. The approximating function yielding the minimum mean-square deviation is obtained and this minimum deviation is calculated.
Received: 03.07.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 2, Pages 132–137
DOI: https://doi.org/10.1007/BF01098312
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. M. Mordashev, “Best approximations of functions of several variables by sums of functions of fewer variables”, Mat. Zametki, 5:2 (1969), 217–226; Math. Notes, 5:2 (1969), 132–137
Citation in format AMSBIB
\Bibitem{Mor69}
\by V.~M.~Mordashev
\paper Best approximations of functions of several variables by sums of functions of fewer variables
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 2
\pages 217--226
\mathnet{http://mi.mathnet.ru/mzm6826}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=243248}
\zmath{https://zbmath.org/?q=an:0183.05601}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 2
\pages 132--137
\crossref{https://doi.org/10.1007/BF01098312}
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