一类广义Bernstein-Kantorovich算子的逼近性质
Approximation properties of a class of generalized Bernstein-Kantorovich operators
金钰 1丁芳1
作者信息
- 1. 宁夏师范学院 数学与计算机科学学院,宁夏 固原 756000
- 折叠
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.
Abstract
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 approxi-mation theorems for the Voronovskaja type operators are presented.
关键词
α-Bernstein-Kantorovich算子/保形性质/Voronovskaja型/逼近Key words
α-Bernstein-Kantorovich operator/Shape preserving property/Voronovskaja-type/Approximation引用本文复制引用
基金项目
宁夏回族自治区自然科学基金(2023AAC03335)
出版年
2024
NETL
NSTL
维普
万方数据