In the present paper, the shape-preserving properties and the monotonicity for convex functions of Stancu operator are given. Moreover, the simultaneous approximation problems of this operator are also considered.
This paper discusses the approximation of the class of function W2 and W2Lp(1<p<∞) by the iterates of Stancu operators and its modified operators and obtains some theorems which extend the results of paper [3].
In this paper, the integral-type Stancu operators on a simplex is considered and its inverse theorem of approximation in Lp（1≤ p 〈＋∞）has been obtained.
文摘In the present paper, the shape-preserving properties and the monotonicity for convex functions of Stancu operator are given. Moreover, the simultaneous approximation problems of this operator are also considered.
文摘This paper discusses the approximation of the class of function W2 and W2Lp(1<p<∞) by the iterates of Stancu operators and its modified operators and obtains some theorems which extend the results of paper [3].
基金Supported by the NNSF of China(10371080)Supported by the Educational Committee Foundation of Beijing(01KJ-101)
文摘In this paper, the integral-type Stancu operators on a simplex is considered and its inverse theorem of approximation in Lp（1≤ p 〈＋∞）has been obtained.
