应用数学2024，Vol.37Issue(4)：1114-1120,7.
修正的Gauss-Weierstrass积分算子在Orlicz空间内的指数加权逼近
Exponential Weighted Approximation of the Modified Gauss-Weierstrass Integral Operators in Orlicz Spaces
摘要
Abstract
This article studied the approximation problem of a modified Gauss-Weierstrass integral operators in an exponentially weighted Orlicz spaces.By establishing relevant lemmas for approxima-tion problems in an exponentially weighted Orlicz spaces,and combining smooth module,the Korovkin theorem,and related analysis techniques,the positive approximation theorem and related approximation properties of operators in an exponentially weighted Orlicz spaces are obtained.关键词
Gauss-Weierstrass积分算子/Orlicz空间/逼近Key words
Gauss-Weierstrass integral operator/Orlicz space/Approximation分类
数理科学引用本文复制引用
陈琳,吴嘎日迪..修正的Gauss-Weierstrass积分算子在Orlicz空间内的指数加权逼近[J].应用数学,2024,37(4):1114-1120,7.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）
