Hlder不等式的逆及其矩阵形式

THE INVERSES OF HLDER INQUALITY AND THEIR MATRIX FORMS

本文应用r阶加权平均值不等式的补不等式证明了几个积分不等式,由此导出了两个Hlder不等式的逆形式,并证明了它们的某种矩阵形式。本文的结果是一些已知的相应结论的推广。

In this paper we prove some integral inequalities using the complementary inequality ofthe weighted mean inequality of order r. From them we derive two inverses of Hoederinequality, and give certain matrix forms of them. Our results expand some knowncorrsponding conclusions.