关于Hardy-Hilbert不等式及其等价式的多参数的推广  

Multi-Parameter Generalization for Hardy-Hilbert’s Inequality and its Equivalent Forms

作　　者：陈建国[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2006年第3期363-368,共6页Journal of Ningbo University：Natural Science and Engineering Edition

摘　　要：引入参数A,B和λ,运用权系数的方法,建立多参数的具有最佳常数因子的推广的Hardy-Hilbert不等式及其等价式,并考虑了对应的积分不等式.By introducing parameters A, B and 3,, and the weighting coefficient, multi-parameter generalization is made for Hardy-Hilbert＇s inequality and its equivalent forms with optimized possible constant factors, in which the corresponding integral inequalities are also taken into consideration.

关 键 词：HARDY-HILBERT不等式 权系数 HOLDER不等式 

分 类 号：O178[理学—数学]