推广Hardy—Hilbert型不等式的改进  

On the Improvement of Extended Hardy-Hilbert’s Type Inequality

作　　者：陈小雨[1] 贺乐平[2] 

机构地区：[1]吉首大学师范学院数学与计算机科学系,湖南吉首416000 [2]吉首大学数学与计算机科学学院,湖南吉首416000

出　　处：《湖南城市学院学报（自然科学版）》2010年第1期42-44,共3页Journal of Hunan City University:Natural Science

基　　金：国家自然科学基金资助项目(10871081)

摘　　要：Hilbert型不等式是分析学中的重要不等式,由于权系数方法的改进及参量化思想的应用,使这一领域的研究有了深入的发展.利用改进了的Hlder不等式对带参数的Hardy-Hilbert型不等式作了进一步的改进,建立了一些新的不等式.Hilbert type inequalities＇ are important in analysis and its applications. In the past few years, by improving of the weight coefficient and introducing some parameters, a number of new results are founded. In this paper, Hardy-Hilbert＇s type integral inequality with parameters is investigated. Some improvements of Hardy-Hilbert＇s inequality are given by means of a sharpening of Holder＇s inequality. Some new inequalities are established.

关 键 词：HARDY-HILBERT不等式 Hlder不等式 权系数 Β函数 

分 类 号：O178[理学—数学]