On partial derivatives of Bernstein–Stancu polynomials for multivariate functions

The aim of the paper is to prove that mixed second-order derivatives of a function of several variables can be approximated in the L1 norm by similar derivatives of modified Bernstein–Stancu polynomials in the case of the minimal possible smoothness. Bibliography: 23 titles. © 2025 Russian Academy of Sciences, Steklov Mathematical Institute of RAS.