摘要
引入参数和权系数,通过对权系数估算,给出一个新的核为-2齐次的Hilbert型不等式及其等价形式,并应用复分析方法,求出其最佳的常数因子,同时给出了其逆向不等式.
By introducing some parameters and estimating the weight coefficient, a new Hilbert's inequality with the homogeneous kernel of-2-order and the equivalent form are given .The best constant factor is calculated by the way of Complex Analysis,and the cases of reverse inequalities are considered.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第12期199-204,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10871076)