| 带反正切函数的半离散Hilbert型不等式的改进 |
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| 引用本文： | 聂彩云.带反正切函数的半离散Hilbert型不等式的改进[J].吉首大学学报(自然科学版),2019,40(1):7. |
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| 作者姓名： | 聂彩云 |
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| 作者单位： | 吉首大学数学与统计学院,湖南吉首,416000 |
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| 摘 要： | 引入权系数和加强的Hlder's不等式，应用实分析方法，对一个较为精确的带有反正切函数的半离散Hardy-Hilbert型不等式作了改进，建立了一些新的不等式.
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| 关 键 词： | 半离散 Hardy-Hilbert型不等式 权系数 H(o)lder’s不等式 |
Improvement of a Half-Discrete Hilbert-Type Inequality Related to the Kernel of Arc Tangent Function |
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| NIE Caiyun.Improvement of a Half-Discrete Hilbert-Type Inequality Related to the Kernel of Arc Tangent Function[J].Journal of Jishou University(Natural Science Edition),2019,40(1):7. |
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| Authors: | NIE Caiyun |
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| Institution: | （College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China） |
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| Abstract: | By introducing weight function and strengthened Hlder's inequality,a more accurate semi-discrete Hardy-Hilbert-type inequality related to the kernel of arc tangent function is improved through real analysis.Some new inequalities are established. |
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| Keywords: | semi-discrete Hardy-Hilbert-type inequality weight coefficient Hlder's inequality |
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