摘要
通过引入一个形如π/sin πp -θ/n1 1r(r =p ,q)的权系数改进了广义Hilbert不等式 ,其中θ是一个正实数 ,其最佳值是 :θ =ln2 - 434 8+ξ192 0 (3742 <ξ <6 136 72 ) .
In this note the generalized Hilbert's inequality is refined by introducing a proper weight coefficient of the form π /sin πp-θ/n 1-Ir (r=p,q,1p+1q=1 and p >1),where θ =ln2-1348+ ξ 1 9203742< ξ <613672. And θ is proved to be the best possible value which is independent of r .
出处
《湘潭大学自然科学学报》
CAS
CSCD
2000年第3期16-19,共4页
Natural Science Journal of Xiangtan University
