Quantitative Estimates for $L^p$-Approximation by Bernstein-Kantorovich-Choquet Polynomials with Respect to Distorted Lebesgue Measures

Year 2019, Volume: 2 Issue: 1, 15 - 21, 01.03.2019

Sorin G. Gal , Sorin Trıfa

https://doi.org/10.33205/cma.481186

Cited By: 2

Abstract

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.

Keywords

{Monotone and submodular set function, Choquet integral, Bernstein-Kantorovich-Choquet polynomial, $L^{p}$ quantitative estimates, $K$-functional, Distorted Lebesgue measure

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