| 一个新的实齐次核的Hilbert型积分不等式 |
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| 引用本文： | 谢子填,杨必成,曾峥.一个新的实齐次核的Hilbert型积分不等式[J].吉林大学学报(理学版),2010,48(6):941-945. |
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| 作者姓名： | 谢子填 杨必成 曾峥 |
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| 作者单位： | 1. 广东肇庆学院 数学系, 广东 肇庆 526061,2. 广东教育学院 数学系, 广州 510103;3. 韶关学院 数学系, 广东 韶关 512005 |
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| 摘 要： | 给出一个新的实齐次核的Hilbert型积分不等式,并给出其逆向形式及等价形式,同时证明了常数因子的最佳性.
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| 关 键 词： | Hilbert积分不等式 权函数 Hlder不等式 |
| 收稿时间： | 2009-12-23 |
A New Hilbert-Type Integral Inequality with Homogeneous Kernel of Real Number-Degree |
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| XIE Zi-tian,YANG Bi-cheng,ZENG Zheng.A New Hilbert-Type Integral Inequality with Homogeneous Kernel of Real Number-Degree[J].Journal of Jilin University: Sci Ed,2010,48(6):941-945. |
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| Authors: | XIE Zi-tian YANG Bi-cheng ZENG Zheng |
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| Institution: | 1. Department of Mathematics, Zhaoqing University, Zhaoqing 526061, Guangdong Province, China;2. Department of Mathematics, Guangdong Education Institute, Guangzhou 510103, China;3. Department of Mathematics, Shaoguan University, Shaoguan 512005, Guangdong Province, China |
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| Abstract: | Estimating the weight function, we gave a new Hilbert type integral inequality with homogeneous kernel real number
degree and a best constant factor. The equivalent inequality and the reverse forms were considered. |
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| Keywords: | Hilbert type integral inequality weight function Hlder’s inequality |
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