On mixed partial derivatives of modified Bernstein-Stancu polynomials for functions of several variables
Classical Analysis and ODEs
2025-07-04 v3 Probability
Abstract
The goal of the paper is establishing the approximation of mixed partial derivatives of the second order of a function of several variables via modified Bernstein polynomials in the norm under the minimal regularity.
Keywords
Cite
@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}
}
Comments
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21 references; in comparison to the v2 version, the text was rearranged and polished significantly, and one important historical reference was added