On the approximation by weighted ridge functions

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We characterize the best $L_{2}$ approximation to a multivariate function by linear combinations of ridge functions multiplied by some fixed weight functions. In the special case when the weight functions are constants, we propose explicit formulas for both the best approximation and approximation error.
8 pages

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Classical Analysis and ODEs, 41A30; 41A50; 41A63

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http://salesiana.dossiersoluciones.com/handle/123456789/136651

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.3356
 http://arxiv.org/abs/0708.3356

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arXiv