半离散且带有广义齐次核Hilbert型不等式的加强  

Strengthening Half-Discrete Hilbert-Type Inequality with a Generalized Homogeneous Kernel

作　　者：聂彩云[1] NIE Caiyun(College of Mathematics and Statistics,Jishou University,Jishou 416000, Hunan China)

机构地区：[1]吉首大学数学与统计学院,湖南吉首416000

出　　处：《吉首大学学报（自然科学版）》2016年第6期10-12,共3页Journal of Jishou University(Natural Sciences Edition)

摘　　要：利用实函数技巧,引入实齐次核并估算权函数,运用加强的Hlder不等式对一个半离散且带有广义齐次核的Hlibert型不等式进一步加强,从而建立了一些新的不等式.By introducing a real number homogeneous kernel and estimating the weight function through the real function techniques,by means of a sharpening of Hlder inequality,a half-discrete Hilbert-type inequality with a generalized homogeneous kernel is improved,and some new inequalities are built.

关 键 词：Hlibert型不等式 权系数 权函数 Hlder不等式 

分 类 号：O178[理学—数学]