On mixed partial derivatives of modified Bernstein-Stancu polynomials for functions of several variables

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 $L_1$ norm under the minimal regularity.

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21 references; in comparison to the v2 version, the text was rearranged and polished significantly, and one important historical reference was added