| 联系黎曼ζ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. 联系黎曼ζ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), 2021, 41(6): 11-14. DOI: 10.13438/j.cnki.jdzk.2020.06.003 |
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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： | 通过引入权函数,并利用Hermite-Hadamard不等式和加强的Hlder不等式,对在全平面上的半离散带双曲余切函数的多参数Hilbert型积分不等式进行了改进,从而建立了一些新的不等式.
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On a Strengthened Half-Discrete Hilbert-Type Inequality Related to the Riemann Zeta Function |
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| NIE Caiyun. On a Strengthened Half-Discrete Hilbert-Type Inequality Related to the Riemann Zeta Function[J]. Journal of Jishou University(Natural Science Edition), 2021, 41(6): 11-14. DOI: 10.13438/j.cnki.jdzk.2020.06.003 |
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| Authors: | NIE Caiyun |
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| Affiliation: | （College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China） |
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| Abstract: | With weight function, Hermite-Hadamard’s inequality, and a strengthened Hlder inequality, a half-discrete Hilbert-type inequality in the whole plane with the kernel of hyperbolic cotangent function and multi-parameters is improved. Some new inequalities are built. |
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| Keywords: | Hilbert-type inequality weight function half-discrete Riemann zeta function |
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