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Mitrinovi■-Djokovi■不等式的推广
Generalization of Mitrinovi■-Diokovi■ Inequality
【摘要】 本文中,我们把Mitrinovi■-Djokovi■不等式推广成:若xk>0(k=1,…,n),x1+…+xn=s≤n-2+2(2+51/2)1/2,且a>0,则sum from k=1 to n (xk+1/xk)a≥n(s/n+n/s)a.
【Abstract】 In this paper, we extend Mitrinovic-Djokovic inequality as follows:Ifxk>0 (k=1,..., n), x1+..+xn=s≤n-2+2 (2+51/2)1/2 and a>0, thensum from h=1 to n(xh+1/xk)a≥n(s/n+n/s)a.
- 【文献出处】 宁波大学学报(理工版) ,Journal of Ningbo Univeristy , 编辑部邮箱 ,1989年01期
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