摘要
基于q-整数和q-微积分理论,并结合统计逼近的相关理论知识,对Stancu型q-Bernstein-Durrmeye算子的一些统计逼近性质加以研究,得到该算子的统计逼近定理。同时,借助连续模给出该算子统计收敛速度的估计。
Based on the theory of q-integer and q-calculus,and combined with the relevant theoretical knowledge of statistical approximation,some statistical approximation properties of the Stancu type q-Bernstein-Durrmeyer operators are studied.The statistical approximation theorem of these operators is given.The estimate of the rates of statistical convergence for these operators is also investigated by means of modulus of continuity.
作者
任美英
REN Meiying(School of Mathematics and Computer Science,Wuyi University,Wuyishan,Fujian 354300,China)
出处
《武夷学院学报》
2022年第6期13-16,共4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)。