作 者：
;
机构地区：
广东教育学院
出 处：
《广东教育学院学报》
2009年第5期1-7,共7页
摘 要：
以Hilbert不等式为特例的Hilbert型不等式是分析学的重要不等式.近代,由于改进了权系数方法及应用了参量化思想,使该类不等式的研究得到深入发展.该文引入多参数,应用实分析的方法以估算权函数,在有限区间(a,b)(0
Hilbert-type inequalities including Hilbert＇s inequality are important in analysis and its applications. In recent years, by improving the way Of weight coefficient and introducing the independent parameters, some researches on the extensions and applications of this type of inequalities are further developed. In this paper, by introducing some parameters and using the way of analysis, the weight functions are estimated, and a few classes of Hilbert-type integral inequality and the equivalent form on the finite interval （a,b）（1〈a〈b〈∞） are given. As applications, a lot of cases of the particular kernel are considered.
关 键 词：
型积分不等式
权函数
核
等价式
领 域：
[理学]
[理学]
