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 : 42 | Download : 9

Publication Date : 2019-03-01

Article Type : Research Paper

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

ORIGINAL ARTICLE URL