数学杂志2024，Vol.44Issue(1)：59-72,14.
修正的一元与二元Szasz-Mirakyan-Kantorovich算子在Orlicz空间内的加权逼近
WEIGHTED APPROXIMATION OF MODIFIED UNIVARIATE AND MULTIVARIATE SZASZ-MIRAKYAN-KANTOROVICH OPERATORS IN ORLICZ SPACES
摘要
Abstract
This article mainly studies the approximation problem of modified univariate and multivariate Szasz-Mirakyan-Kantorovich operators.In order to solve this problem,the Korovkin type theorem in weighted Orlicz spaces was first proved.Based on the Jensen inequality,Hölder inequality,Steklov mean function,and related analysis techniques,we obtained the approximation positive theorems and convergence theorems of the modified univariate and multivariate Szasz-Mirakyan-Kantorovich operators in weighted Orlicz spaces.关键词
Szasz-Mirakyan-Kantorovich算子/Orlicz空间/Korovkin型定理/逼近Key words
Szasz-Mirakyan-Kantorovich operators/Orlicz space/Korovkin type theorem/approximation分类
数理科学引用本文复制引用
陈琳,吴嘎日迪..修正的一元与二元Szasz-Mirakyan-Kantorovich算子在Orlicz空间内的加权逼近[J].数学杂志,2024,44(1):59-72,14.基金项目
国家自然科学基金资助项目(11761055) （11761055）
内蒙古师范大学基本科研业务费专项资金资助项目(2023JBZD007). （2023JBZD007）
