关于多个函数的Hardy-Hilbert不等式的推广  

Extensions of Hardy-Hilbert’s Inequality Involving Several Functions

作　　者：邢益冰[1] 孙保炬[1] 

机构地区：[1]浙江水利水电专科学校,杭州310018

出　　处：《科技通报》2009年第1期16-23,共8页Bulletin of Science and Technology

摘　　要：引入参数A,B,λ,建立了涉及多个函数的Hardy-Hilbert积分不等式,并考虑了它的等价形式及相应的级数不等式,并证明了当λ=1时,其常数因子是最佳的。In this paper,by introducing parameters A,B,λ,the author gives a new extension of Hardy-Hilbert integral inequalities and Hardy-Hilbert double series inequalities involving several functions. It is proved that the constant factors are the best possible for λ=1.

关 键 词：Hardy-Hibert不等式 Hlder不等式 最佳常数因子 

分 类 号：O178[理学—数学]