修正的q-Stancu-Beta算子的加权统计逼近性质

Weighted Statistical Approximation Properties of the Modification of q-Stancu-Beta Operators

基于q-整数的定义,引入了一类修正的q-Stancu-Beta算子,由算子的各阶矩量、中心矩量及加权光滑模结合统计逼近的概念,得到了算子的加权统计收敛定理,并研究了算子的局部逼近性质,得到了算子的局部逼近定理.

In this paper we introduce a kind of modification of q-Stancu-Beta operators based on the concept of q-integer, we obtain weighted statistical approximation theorem of the operators by moments and central moments of the operators and weighted modulus of smoothness combining with the definition of statistical approximation, we also investigate local approximation properties of the operators and establish a local approximation theorem.