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一个非齐次核的半离散型Hilbert型不等式的改进
Improvement of half-discrete Hilbert-type inequality with non-homogeneous kernel
【摘要】 Hilbert型不等式是分析学中的重要不等式.本文利用权函数、实分析技巧以及加强的Hlder不等式对半离散的Hilbert型不等式作了改进,建立了一些新的不等式.
【Abstract】 Hilbert-type inequality are important in analysis and its applications.In this paper,a half-discrete Hilbert-type inequality is investigated.By using the way of weight functions and the techniuque of real analysis and a sharpening of Hlder’s inequality,some improvements of Hardy-Hilbert’s inequality are given,a few new inequalities are established.
【关键词】 Hilbert型不等式;
权系数;
非齐次核;
Hlder不等式;
【Key words】 Hilbert-type inequality; weight coefficient; non-homogeneous kernel; Hlder inequality;
【Key words】 Hilbert-type inequality; weight coefficient; non-homogeneous kernel; Hlder inequality;
【基金】 国家自然科学基金资助项目(11261020)
- 【文献出处】 湖南文理学院学报(自然科学版) ,Journal of Hunan University of Arts and Science(Natural Science Edition) , 编辑部邮箱 ,2014年01期
- 【分类号】O178
- 【下载频次】33