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 $L_1$ norm by similar derivatives of modified Bernstein-Stancu polynomials in the case of the minimal possible smoothness. Bibliography: 23 titles.
Authors
- Nikolai Mikhailovich Mazutskiy
- Alexander Yurievich Veretennikov
Institutions
- Peoples' Friendship University of Russia (RU)
- Lomonosov Moscow State University (RU)
- Institute for Information Transmission Problems (RU)
Publication Details
- Journal
- Sbornik Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4213/sm10154e
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00