Schurer型q-Phillips算子的逼近性质
Approximation Properties of Schurer Type q-Phillips Operators
任美英1
作者信息
- 1. 武夷学院 数学与计算机学院,福建 武夷山 354300
- 折叠
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.
Abstract
Since 1997 Phillips G M proposed and studied the q-Bernstein operators,q-calculus has been widely used in approxima-tion theory.In this paper,we introduce a class of Schurer type q-Phillips operators which preserve linear functions,and study some ap-proximation 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.
关键词
Schurer型q-Phillips算子/q-积分/Korovich型定理/Voronovskaja型结果/收敛性Key words
schurer type q-Phillips operators/q-integral/Korovich type theorem/Voronovskaja type result/convergence引用本文复制引用
基金项目
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)
出版年
2024
NETL
NSTL
万方数据