半离散含多参数的Hilbert型不等式的改进

Improved Half-Discrete Hilbert-Type Inequality with Multi-Parameters

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摘要利用权函数的方法、参量化的思想和加强的Hlder不等式对半离散的Hilbert-type不等式作了改进,建立了一些新的不等式. By using weight functions,parametrization and sharpened Hlder＇s inequality,some improvements of Hardy-Hilbert＇s inequality are given,and a few new inequalities are established.

作者聂彩云

机构地区吉首大学数学与统计学院

出处《吉首大学学报（自然科学版）》 CAS 2015年第6期5-7,共3页 Journal of Jishou University(Natural Sciences Edition)

关键词 Hilbert-type不等式权系数 HOLDER不等式 Β函数 Hilberttype inequality weight coefficient Holder inequality βfunction

分类号 O178 [理学—基础数学]

作者简介聂彩云（1963-），女，湖南永顺人，吉首大学数学与统计学院副教授，主要从事函数论及应用研究．

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参考文献4

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二级参考文献7

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共引文献12

1石艳平,尚小舟.一个推广的非齐次Hilbert型积分不等式的改进[J].吉首大学学报（自然科学版）,2011,32(6):19-21.
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9聂彩云.半离散且带有广义齐次核Hilbert型不等式的加强[J].吉首大学学报（自然科学版）,2016,37(6):10-12. 被引量：1
10聂彩云.半离散含多参数的Mulholland型不等式的加强[J].吉首大学学报（自然科学版）,2017,38(6):1-3.

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吉首大学学报（自然科学版）

2015年第6期

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半离散含多参数的Hilbert型不等式的改进

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