Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771504 | Expositiones Mathematicae | 2017 | 7 Pages |
Abstract
We consider the approximation of a continuous function, defined on a compact set of the d-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Vugar E. Ismailov,