Abstract
In this paper, we present a Durrmeyer type generalization of parametric Bernstein operators. Firstly, we study the approximation behaviour of these operators including a local and global approximation results and the rate of approximation for the Lipschitz type space. The Voronovskaja type asymptotic formula and the rate of convergence of functions with derivatives of bounded variation are established. Finally, the theoretical results are demonstrated by using MAPLE software.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference21 articles.
1. Über die analytische Darstellbarkeit sogennanter willkürlicher Functionen einer reellen Veränderlichen;Weierstrass;Sitzungsber. Akad. Berlin,1885
2. Démonstation du théorème de Weierstrass fondée sur le calcul de probabilités;Bernstein;Commun. Soc. Math. Kharkow,1912
3. Approximation of functions by a new family of generalized Bernstein operators
4. Blending type approximation by generalized Bernstein-Durrmeyer type operators
5. Approximation of functions by genuine Bernstein-Durrmeyer type operators
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献