科研之友
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摘要
Recently, the Bezier variant of some well known operators were introduced (cf. [8] [9])and their rates of convergence for bounded variation functions have been investigated (cf. [2], [10]). In this paper we establish direct and inverse theorems for the Bezier variant of the operators M(n) introduced in [5] in terms of Ditzian-Totik modulus of smoothness omega(phi lambda) (f,t) (0 <= lambda <= 1). These operators include the well known Baskakov-Durrmeyer and Szasz-Durrmeyer type operators as special cases.
- 出版日期2010
