一个负偶数齐次核的Hilbert型积分不等式

一个负偶数齐次核的Hilbert型积分不等式 A Hilbert-Type Integral Inequality with the Homogeneous Kernel of Negative Even Integer Degree 葛晓葵 GE Xiaokui 1 first-author 广东教育学院数学系 广东教育学院数学系 Department of Mathematics,Guangdong Education Institute Department of Mathematics,Guangdong Education Institute 通过估算权函数,建立一个核含多参数且为-2n（n∈Z+）齐次的新的Hilbert型积分不等式及其等价式,并用实分析和代数的方法论证及表述最佳常数因子. By obtaining the weight function,a new Hilbert-type integral inequality with the homogeneous kernel of -2n（n∈Z+） degree and some parameters and the equivalent form are given. The best constant factor are calculated by the way of real analysis and algebra. Hilbert型积分不等式 权函数 最佳值 等价式 Hilbert-type integral inequality weight function best value equivalent form 10.14188/j.1671-8836.2010.04.005 O178 广东高校自然科学重点研究项目（05Z026） 2010-04-01 2021-04-01 4 56