文章基本信息

标题：ON HILBERT-TYPE INTEGRAL OPERATOR INEQUALITY AND APPLICATION
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作者：AIMIN YANG ; GUANGSHENG CHEN
期刊名称：Journal of Theoretical and Applied Information Technology
印刷版ISSN：1992-8645
电子版ISSN：1817-3195
出版年度：2013
卷号：49
期号：3
出版社：Journal of Theoretical and Applied
摘要：In the paper, by using the way of weight functions and the theory of operators, a Hilbert-type integral operator with the homogeneous kernel of −λ-degree and its norm are considered. As for applications, two equivalent inequalities with the best constant factors and some particular norms are obtained.
关键词：Integral operator; Beta function; Hilbert�s type integral inequality