Dergiler / Constructive mathematical analysis (Online) / 2019 / Cilt: 2 - Sayı: 1

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

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

SORIN G. GAL, SORIN TRIFA

Sayfa
15–21
DOI
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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 theLp-norm, 1 ≤ p < +∞, in terms of a K-functional.