一类非齐次核逆向的Hardy型积分不等式成立的等价条件  

Equivalent Conditions of Existence of a Class of Reverse Hardy-Type Integral Inequalities with Non-homogeneous Kernel

作　　者：杨必成[1] 陈强[2] YANG Bicheng CHEN Qiang(Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China Department of Computer Science, Guangdong University of Education, Guangzhou 510303, China)

机构地区：[1]广东第二师范学院数学系,广州510303 [2]广东第二师范学院计算机科学系,广州510303

出　　处：《吉林大学学报（理学版）》2017年第4期804-808,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:61370186;61640222)

摘　　要：应用实分析技巧和权函数方法,讨论一类非齐次核逆向的Hardy型积分不等式成立的等价条件,它联系着参数的配置与核的积分,从而解决了逆向的Hardy型积分不等式存在的逆问题.By using the skill of real analysis and method of weight functions,we discussed some equivalent conditions of the existence of a class of reverse Hardy-type integral inequalities with the non-homogeneous kernel,which related to the configuration of parameters and the integrals of the kernel.Then the reverse problem of the existence of the reverse Hardy-type integral inequality was solved.

关 键 词：HILBERT型积分不等式 HARDY型积分不等式 参数 核 等价性 

分 类 号：O178[理学—数学]