Non-uniform non-asymptotical sharp estimate for the rate of convergence for Bernstein's polynomial approximation, with bilateral constant evaluation
Functional Analysis
2015-08-31 v1
Abstract
We derive the non-asymptotical non-uniform sharp error estimation for Bernstein's approximation of continuous function based on the modern probabilistic apparatus. We investigate also the convergence of derivative of these polynomials and we will consider briefly also the multivariate case.
Keywords
Cite
@article{arxiv.1508.06933,
title = {Non-uniform non-asymptotical sharp estimate for the rate of convergence for Bernstein's polynomial approximation, with bilateral constant evaluation},
author = {Eugene Ostrovsky and Leonid Sirota},
journal= {arXiv preprint arXiv:1508.06933},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1406.3933