| Mathematics and Computer Science |
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| A Hardy-Mulholland-type inequality with the general homogeneous kernel |
| HUANG Qiliang, YANG Bicheng, WANG Aizhen |
| Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China |
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Abstract By adopting the technique of real analysis, the weight functions and the idea of parameterization, a discrete Hardy-Mulholland-type inequality with the general homogeneous kernel which is an extension of the well known Mulholland’s inequality is given. The equivalent statements of the best possible constant factor related to some parameters are addressed, and a few particular inequalities are obtained.
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Received: 15 March 2019
Published: 25 June 2020
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Cite this article:
HUANG Qiliang, YANG Bicheng, WANG Aizhen. A Hardy-Mulholland-type inequality with the general homogeneous kernel. Journal of Zhejiang University (Science Edition), 2020, 47(3): 306-311.
URL:
https://www.zjujournals.com/sci/EN/Y2020/V47/I3/306
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一般齐次核Hardy-Mulholland型不等式
应用实分析技巧、权函数方法及参量化思想，给出了一个一般齐次核Hardy-Mulholland型不等式，此为经典的Mulholland不等式的推广。同时，还讨论了当常数因子取最佳值时的联系参数的等价陈述，并给出了若干应用特例。
关键词：
最佳常数因子,
权函数,
核,
Hardy-Mulholland型不等式,
等价陈述,
参数
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