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Quantitative Estimates in $$L^{p}$$Lp-Approximation by Bernstein–Durrmeyer–Choquet Operators with Respect to Distorted Borel Measures

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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.

Keywords: bernstein durrmeyer; estimates approximation; approximation bernstein; quantitative estimates; respect distorted; borel

Journal Title: Results in Mathematics
Year Published: 2017

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