一个半离散含对数齐次核的Hilbert型不等式  

A half-discrete Hilbert-type inequality with homogeneous logarithmic kernel

作　　者：杨必成[1] 

机构地区：[1]广东第二师范学院数学系,广东广州510303

出　　处：《兰州理工大学学报》2013年第3期147-150,共4页Journal of Lanzhou University of Technology

基　　金：广东省自然科学基金(7004344)

摘　　要：应用权系数的方法、复分析技巧及参量化思想,建立一个具有最佳常数因子的、半离散含对数齐次核的Hil-bert型不等式,并考虑它的引入多参数的最佳推广式及等价式.By using the method of weight coefficients, the technique of complex analysis and the idea of parameterization, a half-discrete Hilbert-type inequality with homogeneous logarithmic kernel and optimal constant factor was set up. Meantime, its optimal extension and equivalent forms with multi-parameters were taken into consideration.

关 键 词：权系数 参数 HILBERT型不等式 等价式 

分 类 号：O178[理学—数学]