摘要
研究了关于权函数w(x)=1/√1-x^(2)的第一类Chebyshev多项式展开的Bochner-Riesz平均算子在加权Orlicz空间中的逼近,利用K-泛函、光滑模、Jensen不等式等逼近工具,基于N函数的凸性、Hardy-Littlewood极大函数等性质,得到了Bochner-Riesz平均算子在加权Orlicz空间的逼近定理.
In this paper,we study the approximation of Bochner-Riesz average operators in weighed rlie paes for wih fuetions w(x)=1/√1-x^(2)of iexpansion of Chebyshev polynomials of the first type.Using k-functional,smooth modulus,Jensen's inequality and other approximation tools,Based on the convexity of N function and Hardy-Littlewood maximum function,the approximation theorem of Bochner-Riesz average operators in weighted Orlicz spaces is obtained.
作者
钟宇
官心果
杨柱元
ZHONG Yu;GUAN Xin-guo;YANG Zhu-yuan(College of Preparatory Education,Qiannan Normal University for Nationalities,Duyun 558000,China;School of Mathematics and Statistics,Qiannan Normal University for Nationalities,Duyun 558000,China;School of Mathematics and Computer Science,Yunnan Minzu University,Kunming 650500,China)
出处
《数学的实践与认识》
2023年第9期186-190,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11361076)
贵州省教育厅高等学校科学研究项目(青年项目)(黔教技[2022]386,黔教技[2022]378)
贵州省教育厅教育科研创新项目《数学模型算法与应用创新群体》([2019]067)。
