For the multivariate Bernstein–Durrmeyer operator $$D_{n, \mu }$$Dn,μ, written in terms of the Choquet integral with respect to a distorted probability Borel measure $$\mu $$μ on the standard d-dimensional simplex… Click to show full abstract
For the multivariate Bernstein–Durrmeyer operator $$D_{n, \mu }$$Dn,μ, written in terms of the Choquet integral with respect to a distorted probability Borel measure $$\mu $$μ on the standard d-dimensional simplex $$S^{d}$$Sd, quantitative $$L^{p}$$Lp-approximation results, $$1\le p <\infty $$1≤p<∞, in terms of a K functional are obtained.
               
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