This analysis shows mixed second-order derivatives can be approximated in L1 norm using Bernstein-Stancu polynomials, suggesting new methods 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.
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Veretennikov et al. (2025) studied this question.
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