On some properties of finite sums of ridge functions defined on convex subsets of ℝ n-Reference-Cited by-同舟云学术

On some properties of finite sums of ridge functions defined on convex subsets of ℝ n

Published:2016-05 Issue:1 Volume:293 Page:186-193
ISSN:0081-5438
Container-title:Proceedings of the Steklov Institute of Mathematics
language:en
Short-container-title:Proc. Steklov Inst. Math.

Author:

Konyagin S. V.,Kuleshov A. A.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1134/S0081543816040131.pdf

Reference20 articles.

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2. R. Courant and D. Hilbert, Methoden der mathematischen Physik (Springer, Berlin, 1937), Vol. 2.

3. F. John, Plane Waves and Spherical Means Applied to Partial Differential Equations (Interscience, New York, 1955).

4. Yu. P. Ofman, “Best approximation of functions of two variables by functions of the form ϕ(x) + ψ(y),” Izv. Akad. Nauk SSSR, Ser. Mat. 25 (2), 239–252 (1961) [Am. Math. Soc. Transl., Ser. 2, 44, 12–28 (1965)].

5. S. Ya. Havinson, “A Chebyshev theorem for the approximation of a function of two variables by sums of the type ϕ(x) + ψ(y),” Izv. Akad. Nauk SSSR, Ser. Mat. 33 (3), 650–666 (1969) [Math. USSR, Izv. 3, 617–632 (1969)].

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