Publications de l'Institut Mathématique, Nouvelle Série Vol. 96[110], pp. 23–29 (2014) 

ON $\boldsymbol{L^p}$CONVERGENCE OF BERNSTEIN–DURRMEYER OPERATORS WITH RESPECT TO ARBITRARY MEASUREElena E. Berdysheva and BingZheng LiGerman University of Technology in Oman, Muscat, Oman and Zhejiang University, Hangzhou, ChinaAbstract: 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, $1\leq p<\infty$. Keywords: positive operators; Bernstein type operators; rate of convergence Classification (MSC2000): 41A36, 41A63 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 30 Oct 2014. This page was last modified: 24 Nov 2014.
© 2014 Mathematical Institute of the Serbian Academy of Science and Arts
