关于多变量函数修正 Bernstein-Stancu 多项式的混合偏导数
经典分析与常微分方程
2025-07-04 v3 概率论
摘要
本文的目标是在最小正则性条件下，通过修正的伯恩斯坦多项式，建立多变量函数二阶混合偏导数在 范数下的逼近。
引用
@article{arxiv.2204.12570,
title = {On mixed partial derivatives of modified Bernstein-Stancu polynomials for functions of several variables},
author = {N. M. Mazutskiy and A. Yu. Veretennikov},
journal= {arXiv preprint arXiv:2204.12570},
year = {2025}
}
备注
28 pages, in Russian language, 21 references; in comparison to the v2 version, the text was rearranged and polished significantly, and one important historical reference was added