- Constructive Mathematical Analysis
- Vol: 2 Issue: 1
- Quantitative Estimates for $L^p$-Approximation by Bernstein-Kantorovich-Choquet Polynomials with Res...
Quantitative Estimates for $L^p$-Approximation by Bernstein-Kantorovich-Choquet Polynomials with Respect to Distorted Lebesgue Measures
Authors : Sorin G. Gal, Sorin Trifa
Pages : 15-21
Doi:10.33205/cma.481186
View : 11 | Download : 6
Publication Date : 2019-03-01
Article Type : Research
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