一个非齐次核的半离散型Hilbert型不等式的改进  

Improvement of half-discrete Hilbert-type inequality with non-homogeneous kernel

作　　者：贺乐平[1] 刘妥 

机构地区：[1]吉首大学数学与统计学院,湖南吉首416000

出　　处：《湖南文理学院学报（自然科学版）》2014年第1期1-3,共3页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：国家自然科学基金资助项目(11261020)

摘　　要：Hilbert型不等式是分析学中的重要不等式.本文利用权函数、实分析技巧以及加强的Hlder不等式对半离散的Hilbert型不等式作了改进,建立了一些新的不等式.Hilbert-type inequality are important in analysis and its applications. In this paper, a half-discrete Hilbert-type inequality is investigated. By using the way of weight functions and the techniuque of real analysis and a sharpening of Holder’s inequality, some improvements of Hardy-Hilbert’s inequality are given, a few new inequalities are established.

关 键 词：HILBERT型不等式 权系数 非齐次核 Hilder不等式 

分 类 号：O178[理学—数学]