一类新的Shapiro型不等式及其应用  

A class of new Shapiro type inequalities and their applications

作　　者：邓永海[1] 

机构地区：[1]攀枝花市大河中学,四川攀枝花617061

出　　处：《贵州师范学院学报》2015年第9期33-38,共6页Journal of Guizhou Education University

基　　金：四川省教育厅自然科学青年基金项目资助(项目编号:2011ZA113)

摘　　要：给出一类新的Shapiro型不等式,在代数不等式研究中有着广泛的应用,利用它们可直接得到一大批新的分式型不等式,也可运用它们证明或推广许多不等式,推广和发展了一些近期的结果。In this paper, we establish a class of new Shapiro type inequalities,which has found wide application in algebraic inequality. With a powerful tool, we can not only improve a number of fractional inequalities and discover some new ones, but can prove or generalize a lot of inequalities to promote and develop some author＇s recent results.

关 键 词：Shapiro不等式 分式不等式 Htflder不等式 

分 类 号：O122.3[理学—数学]