Approximation properties for the genuine modi ed Bernstein-Durrmeyer-Stancu operators  

作　　者：CAI Qing-bo Ulku Dinlemez Kantar Bayram Cekim 

机构地区：[1]School of Mathematics and Computer Science,Quanzhou Normal University,Quanzhou 362000,China [2]Department of Mathematics,Faculty of Science,Gazi University,Be,sevler Ankara,Turkey

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2020年第4期468-478,共11页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11601266);the Natural Science Foundation of Fujian Province of China(2020J01783);the Project for High-level Talent Innovation and Entrepreneurship of Quanzhou(2018C087R);the Program for New Century Excellent Talents in Fujian Province University and Fujian Provincial Scholarship for Overseas Study。

摘　　要：In this paper,we study on the genuine modified Bernstein-Durrmeyer-Stancu operators Gn(f,x)and investigate some approximation properties of them.Furthermore,we present a Voronovskaja type theorem for these operators.We also give some graphs and numerical examples to illustrate the convergence properties of these operators for certain functions.

关 键 词：genuine modi ed Bernstein-Durrmeyer-Stancu operators Voronovskaja type approximation theorem rate of convergence modulus of continuity 

分 类 号：O177[理学—数学]