摘要
引入两个参数λ_1和λ_2,利用权函数方法和泛函分析技巧,定义一个双参数Hilbert型积分算子,并给出算子的范数.作为应用,获得一些改进的结果,并得到一些具有特殊核的新的Hilbert型积分不等式.
In this work, by introducing two parameters λ1 and λ2 and using the method of weight function and the technique of functional analysis, a two-parameter Hilbert-type integral operator is defined and the norm of the operator is given. As applications, a few improved results and some new Hilbert-type integral inequalities with the particular kernels are obtained.
出处
《中国科学院大学学报（中英文）》
CSCD
北大核心
2016年第6期729-735,共7页
Journal of University of Chinese Academy of Sciences
基金
Supported by National Natural Science Foundation of China(11171280)
