Geodesic
On $\boldsymbol{L^p}$-convergence of Bernstein-Durrmeyer Operators with Respect to Arbitrary Measure
Publications de l'Institut Mathématique, _N_S_96 (2014) no. 110, p. 23

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We consider Bernstein-Durrmeyer operators with respect to arbitrary measure on the simplex in the space $\mathbb{R}^d$. We obtain estimates for rate of convergence in the corresponding weighted $L^p$-spaces, $1\leq p\infty$.
Classification : 41A36 41A63
Keywords: positive operators, Bernstein type operators, rate of convergence 
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     author = {Elena E. Berdysheva and Bing-Zheng Li},
     title = {On $\boldsymbol{L^p}$-convergence of {Bernstein-Durrmeyer} {Operators} with {Respect} to {Arbitrary} {Measure}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {23 },
     publisher = {mathdoc},
     volume = {_N_S_96},
     number = {110},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2014_N_S_96_110_a2/}
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Elena E. Berdysheva; Bing-Zheng Li. On $\boldsymbol{L^p}$-convergence of Bernstein-Durrmeyer Operators with Respect to Arbitrary Measure. Publications de l'Institut Mathématique, _N_S_96 (2014) no. 110, p. 23 . http://geodesic.mathdoc.fr/item/PIM_2014_N_S_96_110_a2/