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关于Hardy-Hilbert不等式及其等价式的多参数的推广
Multi-Parameter Generalization for Hardy-Hilbert’s Inequality and its Equivalent Forms
【摘要】 引入参数A,B和λ,运用权系数的方法,建立多参数的具有最佳常数因子的推广的Hardy-Hilbert不等式及其等价式,并考虑了对应的积分不等式.
【Abstract】 By introducing parameters A,B andλ,and the weighting coefficient,multi-parameter generalization is made for Hardy-Hilbert’s inequality and its equivalent forms with optimized possible constant factors,in which the corresponding integral inequalities are also taken into consideration.
【关键词】 Hardy-Hilbert不等式;
权系数;
Hlder不等式;
【Key words】 Hardy-Hilbert’s inequality; weight coefficient; Hlder’s inequality;
【Key words】 Hardy-Hilbert’s inequality; weight coefficient; Hlder’s inequality;
- 【文献出处】 宁波大学学报(理工版) ,Journal of Ningbo University(Natural Science & Engineering Edition) , 编辑部邮箱 ,2006年03期
- 【分类号】O178
- 【下载频次】33