Local smoothness of functions and Baskakov-Durrmeyer operators

[摘要] In this paper, we consider the local approximation by Baskakov-Durrmeyer operators. The continuous functions of local Lipschitz-alpha (0<1) on any subset. of [0, infinity) are characterized by the local rate of convergence of Baskakov-Durrmeyer operators. The main difference between these operators and their classical and Kantorovich-variants respectively is that they have commutativity, which is crucial for our purpose. (C) 1997 Academic Press.

[发布日期] 1997-02-01