English

On the approximation by weighted ridge functions

Classical Analysis and ODEs 2007-08-27 v1

Abstract

We characterize the best L2L_{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.

Keywords

Cite

@article{arxiv.0708.3356,
  title  = {On the approximation by weighted ridge functions},
  author = {Vugar Ismailov},
  journal= {arXiv preprint arXiv:0708.3356},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-06-21T09:10:23.641Z