A note on approximation properties of q-Durrmeyer operators

作者：Zeng Xiao Ming^*; Lin Diwang; Li Lingling

来源：Applied Mathematics and Computation, 2010, 216(3): 819-821.

DOI：10.1016/j.amc.2010.01.086

• q-Bernstein polynomials
• Positive linear operators
• q-Durrmeyer operators
• Approximation process
• Continuous functions

In this paper, the approximation properties of q-Durrmeyer operators D(n,q)(f;x) for f is an element of C[0,1] are discussed. The exact class of continuous functions satisfying approximation process lim(n ->infinity)D(n,q)(f;x)=f(x) is determined. The results of the paper provide an elaboration of the previously-known ones on operators D(n,q).

• 出版日期2010-4-1
• 单位厦门大学