Bernstein 多项式逼近收敛速率的非一致非渐近精确估计及双侧常数评估
泛函分析
2015-08-31 v1
摘要
基于现代概率工具, 我们推导了连续函数 Bernstein 逼近的非渐近非一致精确误差估计. 我们还研究了这些多项式导数的收敛性, 并简要考虑了多元情形.
引用
@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}
}
备注
arXiv admin note: text overlap with arXiv:1406.3933