A note on the equioscillation theorem for best ridge function approximation
Functional Analysis
2016-09-28 v1
Abstract
We consider the approximation of a continuous function, defined on a compact set of the -dimensional Euclidean space, by sums of two ridge functions. We obtain a necessary and sufficient condition for such a sum to be a best approximation. The result resembles the classical Chebyshev equioscillation theorem for polynomial approximation.
Cite
@article{arxiv.1609.08424,
title = {A note on the equioscillation theorem for best ridge function approximation},
author = {Vugar Ismailov},
journal= {arXiv preprint arXiv:1609.08424},
year = {2016}
}
Comments
8 pages