一类广义Bernstein-Kantorovich算子的逼近性质  

Approximation properties of a class of generalized Bernstein-Kantorovich operators

作　　者：金钰[1] 丁芳[1] JIN Yu;DING Fang(School of Mathematics and Computer Science,Ningxia Normal University,Guyuan Ningxia 756099)

机构地区：[1]宁夏师范学院数学与计算机科学学院,宁夏固原756000

出　　处：《宁夏师范学院学报》2024年第4期40-46,共7页Journal of Ningxia Normal University

基　　金：宁夏自然科学基金项目(2023AAC03335).

摘　　要：引入一类新的基于参数α的Bernstein-Kantorovich算子,研究算子的保形性质,即保单调性和保凸性,同时给出该算子Voronovskaja型的逼近定理.A kind of new Bernstein-Kantorovich operators based on parameterαare introduced.Some shape preserving properties of these operators,namely,monotonicity and convexity preservation are studied.At the same time,the approximation theorems for the Voronovskaja type operators are presented.

关 键 词：α-Bernstein-Kantorovich算子 保形性质 Voronovskaja型 逼近 

分 类 号：O174.41[理学—数学]