Young型不等式的推广及其反向形式  

A generalization of refinements and reverses for Young type inequality

作　　者：王永忠 李玉 杨长森[2] Wang Yongzhong;Li Yu;Yang Changsen(College of Mathematics and Information Science,Xinxiang University,Xinxiang 453003,China;College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China)

机构地区：[1]新乡学院数学与信息科学学院,河南新乡453003 [2]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《河南师范大学学报（自然科学版）》2021年第1期19-24,共6页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11271112,11771126,11701154);河南师范大学硕士创新研究(YL201919).

摘　　要：在给出数字情形Young型不等式的推广及其反向形式的基础上,获得相应的算子不等式及在Hilbert-Schmidt范数、酉不变范数和迹范数意义下的矩阵不等式.In this paper,we give a completed refinements and reverses of Young type inequality for real numbers.Meanwhile,based on the scalars results,we obtain some corresponding operator versions and matrix versions including Hilbert-Schmidt norm,unitarily invariant norm and related trace versions,which can be regarded as the applications of the scalars results.

关 键 词：Young型不等式 Hilbert-Schmidt范数 迹范数 酉不变范数 

分 类 号：O177.1[理学—基础数学]