摘要
Agrawal和Thamer定义了一类新正线性算子,本文利用光滑模、Hardy-Littlewood极大函数、N函数的凸性及Jensen不等式,讨论了该算子在Orlicz空间内逼近的性质,给出并证明了该算子在Orlicz空间内逼近的强型逆定理.
Agrawal and Thamer gives a definition to a new class of positive linear operators. This dissertation discusses about the nature of its approach within the Orlicz Space on the basis of analyzing the following four concepts modulus of smoothness, Hardy--Littlewood great function, N- function and Jensen inequality, showing us proof of the approximation strong type inverse theorem.
出处
《大学数学》
2016年第2期17-21,共5页
College Mathematics
基金
国家自然科学基金(11161033)
内蒙古师范大学人才工程基金(RCPY-2-2012-K-036)
关键词
算子
ORLICZ空间
逼近
强逆不等式
operator
Orlicz space
approximation
strong converse inequality
