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On Approximation by Ridge Functions |
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| Authors: | A. Kroó |
| Affiliation: | (1) Mathematical Institute of the Hungarian Academy of Sciences Budapest Reáltanoda u. 13-15 H-1053 Hungary, HU |
| Abstract: | Ridge functions are defined as functions of the form , where , belongs to the given ``direction' set . In this paper we study the fundamentality of ridge functions for variable directions sets A and discuss the rate of approximation by ridge functions. Date received: June 7, 1994. Date revised: August 3, 1995. |
| Keywords: | and phrases: Ridge functions Homogeneous polynomials Fundamentality Rate of approximation. AMS Classification: 41A45 41A63. |
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