Quantitative estimates in \(L^{p}\)-approximation by Bernstein-Durrmeyer-Choquet operators with respect to distorted Borel measures (Q1682581)

For the multivariate Bernstein-Durrmeyer operator, written in terms of the Choquet integral with respect to a distorted probability Borel measure \(\mu\) on the standard \(d\)-dimensional simplex \(S^d\), quantitative \(L_p\)-approximation results, \(1\leq p<\infty\), in terms of a \(K\) functional are established in the present article.