一个加强的Hardy不等式

A Strengthened Hardy's Inequality

通过精确估算 ,建立如下权系数的不等式 ,W (k) =1k kn =1 ∞j=n1j3/ 2 ≤ 4(1 - ηk) (k∈N ,η =0 .346 9+ ) ,从而导出Hardy不等式的一个加强式 (p =2 ) .

In this paper, by estimating the following inequality of the weight coefficient, W(k)=1k kn=1 ∞j=n1j 3/2 ≤4(1-nk)(k∈ N ,η=0.3469 +), we build a strengthened Hardy′s inequality( p =2).