摘要
引进一类保持线性函数的Schurer型q-Phillips算子,并利用q-微积分的相关理论研究该算子列的一些逼近性质,得到算子列的一个Korovkin型收敛定理和一个Voronovskaja型结果,同时给出该算子列的收敛速度的一些估计。
Since 1997 Phillips G M proposed and studied the q-Bernstein operators,q-calculus has been widely used in approximation theory.In this paper,we introduce a class of Schurer type q-Phillips operators which preserve linear functions,and study some approximation properties of the operators by using the relevant theory of q-calculus,a Korovkin type convergence theorem and a Voronovskaja type result are obtained for the operators,and some estimates of the convergence rate are given.
作者
任美英
REN Meiying(School of Mathematics and Computer Science,Wuyi University,Wuyishan,Fujian 354300)
出处
《武夷学院学报》
2024年第6期1-6,共6页
Journal of Wuyi University
基金
福建省自然科学基金资助项目(2018J01428)
武夷学院科技创新发展基金项目(2018J01428-02)。
