一个含有混核的Hilbert型不等式的推广  

The Generalization of Hilbert′s Type Inequality with Mixed Nuclei

作　　者：杨墩坤 席高文[1] YANG Dun-kun;XI Gao-wen(College of Mathematics and Physics,Chongqing University of Science and Technology,Chongqing 401331,China)

机构地区：[1]重庆科技学院数理学院,重庆401331

出　　处：《大学数学》2018年第4期17-23,共7页College Mathematics

基　　金：重庆科技学院2017年度校内科研基金项目(ck2017zkyb019)

摘　　要：通过引入参数λ,应用权系数的方法,对一个含有混核的Hilbert型不等式进行研究,得到了它的正向和逆向不等式的推广,以及不等式的等价形式,同时证明了不等式的常数为最佳值.By introducing the parameter λ and applying the weight coefficient, a study has been made on a Hilbert＇s type inequality, and the generalizations of the forward and reverse inequalities and the equivalence forms of the inequalities has been obtained. At the same time, the constant of the inequality has been proved to the optimum value.

关 键 词：HILBERT型不等式 权系数 最佳常数 等价形式 

分 类 号：O178[理学—数学]