| 有三对共轭指数的Hilbert型积分不等式 |
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| 引用本文： | 曾峥,谢子填.有三对共轭指数的Hilbert型积分不等式[J].韶关学院学报,2010,31(3):1-5. |
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| 作者姓名： | 曾峥 谢子填 |
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| 作者单位： | 1. 韶关学院数学与信息科学学院,广东,韶关,512005
2. 肇庆学院数学与信息科学学院,广东,肇庆,526061 |
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| 摘 要： | 给出了一个新的有三对共轭指数的Hilbert型不等式及其等价形式。同时证明了其有最佳的常数因子．
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| 关 键 词： | Hilbert不等式 权函数 Holder不等式 |
A Hilbert-type integral inequality with three pairs of conjugate exponents |
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| ZENG Zheng,XIE Zi-tian.A Hilbert-type integral inequality with three pairs of conjugate exponents[J].Journal of Shaoguan University(Social Science Edition),2010,31(3):1-5. |
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| Authors: | ZENG Zheng XIE Zi-tian |
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| Institution: | ZENG Zheng1,XIE Zi-tian2(1.College of Mathematical , Information Sciences,Shaoguan University,Shaoguan 512005,Guangdong,China,2.Faculty of Mathematical , Information Sciences,Zhaoqing University,Zhaoqing 526061,China) |
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| Abstract: | In this paper,by estimating the weight function,author give a new Hilbert-type integral inequality with inequality tree paits of conjugate exponents and with a best constant factor.The reverse form are considered. |
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| Keywords: | Hilbert-type integral inequality weight function Holder＇s inequality |
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