关于一个Hardy不等式的加强

A Strengthened Improvement on Hardy's Inequality

加强了p=32时的Hardy不等式,建立了如下的不等式∑∞n=11n∑nk=1ak32<332∑∞k=11-15·13n+3an32,an≥0,(n∈N+),0<∑∞n=1an32<+∞。

For Hardy's inequaity(p=32),The following strengthened inequality is set up.∑∞n=11n∑nk=1a_k^(32)<3^(32)∑∞n=11-15×13+n^(1/3)a_n^(32),a_n≥0,(n∈N),0<∑∞n=1a_n^(32)<∞.