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Approximation to the Sobolev classesW q r of functions of several variables by bilinear forms inL p for 2≤q≤p≤∞ |
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| Authors: | M -B A Babaev |
| Institution: | (1) Institute of Mathematics and Mechanics of the Academy of Sciences of the Azerbaidzhan Republic, Baku |
| Abstract: | We study the approximation of functions of several variables by bilinear forms that are the pairwise products of functions of fewer variables. The order of approximation of Sobolev classesW q r by bilinear forms inL p for 2≤q≤p≤∞ is found. Translated by N. K. Kulman Translated fromMatematicheskie Zametki, Vol. 62, No. 1, pp. 18–34, July, 1997. |
| Keywords: | approximation by functions of fewer variables bilinear forms order of approximation Sobolev classes Kolmogorovn-width |
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