For the univariate Bernstein-Kantorovich-Choquet polynomials written in terms of the Choquet integral with respect to a distorted probability Lebesgue measure, we obtain quantitative approximation estimates for the $L^{p}$-norm, $1\le p<+\infty$, in terms of a $K$-functional.
{Monotone and submodular set function Choquet integral Bernstein-Kantorovich-Choquet polynomial $L^{p}$ quantitative estimates $K$-functional Distorted Lebesgue measure
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | March 1, 2019 |
Published in Issue | Year 2019 Volume: 2 Issue: 1 |