| 关于推广Radon不等式的一个结果及应用 |
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| 引用本文： | 吴善和.关于推广Radon不等式的一个结果及应用[J].贵州师范大学学报(自然科学版),2004,22(1):1-4,9. |
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| 作者姓名： | 吴善和 |
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| 作者单位： | 龙岩学院,数学系,福建,龙岩,364012 |
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| 基金项目： | 福建省教育厅自然科学基金资助项目(编号JB02219)。 |
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| 摘 要： | 利用H lder不等式、W.H.Young不等式、幂平均不等式建立Radon不等式的指数推广形式,得到一个具有广泛应用价值的不等式.指出文6]中给出的关于Radon不等式的推广结果是错误的,并在本文中作了修正.
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| 关 键 词： | Radon不等式 Holder不等式 W.H.Young不等式 指数 推广 |
| 文章编号： | 1004-5570(2004)01-0001-04 |
A result of extending Radon's inequality and its application |
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| WU Shan-he.A result of extending Radon's inequality and its application[J].Journal of Guizhou Normal University(Natural Sciences),2004,22(1):1-4,9. |
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| Authors: | WU Shan-he |
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| Abstract: | In this paper,the exponential generalization of the Radon's inequality is established by using Hlder's inequality and W.H.Young's inequality and mean value inequality.It is of great value to us.Moreover,the writer points out that the result about the generalization of Radon's inequality in paper6]is wrong.At the end of this paper a correct result about the generalized inequality is given. |
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| Keywords: | Radon's inequality Hlder's inequality W H Young's inequality exponent extend |
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