摘要
通过引入一个形如x1+x(x∈[0,+∞))的幂指函数建立了带权的Hardy-Hilbert积分不等式的新推广。并证明了系数2sinπ/p是最佳值。作为应用,给出了Hardy-Littlewood积分不等式的一个推广.
In this paper, it is shown that an extension on Hardy-Hilbert's integral inequality with weights can be established by introducing a power-exponent function of the form x^(1+x)(x∈[0,+∞)), and the coefficient 2sin π/p is proved to be best possible. As application, generalizations of Hardy-Littlewood's integral inequality are given.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2005年第1期91-98,共8页
Pure and Applied Mathematics
