一个非齐次核的Hilbert型积分不等式及推广

一个非齐次核的Hilbert型积分不等式及推广 A Hilbert-Type Integral Inequality with a Non-Homogeneous Kernel and Its Extension 杨必成 YANG Bicheng 1 first-author 广东第二师范学院数学系 广东第二师范学院数学系 Department of Mathematics,Guangdong University of Education Department of Mathematics,Guangdong University of Education 应用权函数的方法及实分析技巧,建立一个具有最佳常数因子的非齐次核的Hilbert型积分不等式,考虑了其引入参数的推广形式,等价形式与逆式. By using the way of weight functions and the technique of real analysis,a new Hilbert-type integral inequality with a non-homogeneous kernel and a best constant factor is given.The extension with multi-parameters,the equivalent form and the reverses are considered. 权函数 Hilbert型积分不等式 等价式 逆式 weight function Hilbert-type integral inequality equivalent form reverse 10.14188/j.1671-8836.2011.02.012 O178 广东高校自然科学重点研究项目（05Z026）;广东省自然科学基金项目（7004344） 2011-02-01 2021-04-01 2 57