机构地区: 广东教育学院
出 处: 《武汉大学学报(理学版)》 2008年第3期275-278,共4页
摘 要: 引入单参量λ及估算权系数,建立了一个含参量的逆向的Hilbert型不等式的推广式,并证明其常数因子是最佳值.作为应用,导出了其若干仅含有其中一个非负实数列的等价形式及λ取特殊值时的一些特殊结果. By introducing a parameter λ and estimating the weight coefficient, we give a generalization of the reverse Hilbert-type inequality with a parameter and a best constant factor. As applications, the equivalent forms including only one of those non-negative sequence of real number and some particular results when λ takes special value are considered.