| 一类非齐次核逆向的Hardy型积分不等式成立的等价条件 |
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| 引用本文： | 杨必成,陈强.一类非齐次核逆向的Hardy型积分不等式成立的等价条件[J].吉林大学学报(理学版),2017,55(4):804-808. |
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| 作者姓名： | 杨必成 陈强 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 核 等价性 Hilbert型积分不等式 参数 Hardy型积分不等式 |
| 收稿时间： | 2016-12-26 |
Equivalent Conditions of Existence of a Class of Reverse Hardy Type Integral Inequalities with Non homogeneous Kernel |
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| YANG Bicheng,CHEN Qiang.Equivalent Conditions of Existence of a Class of Reverse Hardy Type Integral Inequalities with Non homogeneous Kernel[J].Journal of Jilin University: Sci Ed,2017,55(4):804-808. |
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| Authors: | YANG Bicheng CHEN Qiang |
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| Institution: | 1. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China;2. Department of Computer Science, Guangdong University of Education, Guangzhou 510303, China |
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| Abstract: | By using the skill of real analysis and method of weight functions, we discussed some equivalent conditions of the existence of a classof 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. |
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| Keywords: | kernel equivalence Hilbert type integral inequality parameter Hardy type integral inequality |
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