On the approximation by compositions of fixed multivariate functions with univariate functions

@article{VugarE2007,
abstract = {The approximation in the uniform norm of a continuous function f(x) = f(x₁,...,xₙ) by continuous sums g₁(h₁(x)) + g₂(h₂(x)), where the functions h₁ and h₂ are fixed, is considered. A Chebyshev type criterion for best approximation is established in terms of paths with respect to the functions h₁ and h₂.},
author = {Vugar E. Ismailov},
journal = {Studia Mathematica},
keywords = {ridge function; best approximation},
language = {eng},
number = {2},
pages = {117-126},
title = {On the approximation by compositions of fixed multivariate functions with univariate functions},
url = {http://eudml.org/doc/284538},
volume = {183},
year = {2007},
}

TY - JOUR
AU - Vugar E. Ismailov
TI - On the approximation by compositions of fixed multivariate functions with univariate functions
JO - Studia Mathematica
PY - 2007
VL - 183
IS - 2
SP - 117
EP - 126
AB - The approximation in the uniform norm of a continuous function f(x) = f(x₁,...,xₙ) by continuous sums g₁(h₁(x)) + g₂(h₂(x)), where the functions h₁ and h₂ are fixed, is considered. A Chebyshev type criterion for best approximation is established in terms of paths with respect to the functions h₁ and h₂.
LA - eng
KW - ridge function; best approximation
UR - http://eudml.org/doc/284538
ER -