Approximation properties of the univariate and bivariate Bernstein-Stancu operators of max-product kind

Year 2024, Volume: 73 Issue: 3, 787 - 801, 27.09.2024

Ayşe Kübra Yeşilnacar Binmar , Ecem Acar , Sevilay Kırcı Serenbay

https://doi.org/10.31801/cfsuasmas.1452069

Abstract

This paper presents the nonlinear maximum product type of univariate and bivariate Bernstein–Stancu operators and uses new definitions to investigate the approximation properties. The order of approximation obtained with the nonlinear maximum product type of operator sequences would be better than the degree of approximation of the known linear operator sequences.

Keywords

Bernstein-Stancu operators, nonlinear operators, degree of approximation

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