Fan Ky不等式的一个改进  

A Refinement of Fan Ky′s Inequality

作　　者：周昱[1] 高明哲[1] 

机构地区：[1]吉首大学师范学院数学与计算机科学系,湖南吉首416000

出　　处：《数学的实践与认识》2007年第2期133-136,共4页Mathematics in Practice and Theory

摘　　要：利用改进的H lder不等式并借助于正交矩阵的行列式的积分表示法建立了Fan K y不等式的一个有意义的改进.当A,B为n阶非奇异矩阵时,给出了新创建不等式的一个推广.特别当n=1时,得到了Y oung不等式的一个很强的结果.It is shown that a refinement of the of the refined HOlder inequality and by the help Fan Ky inequality can be established by means of the integral expression of the determinant of a positive definite matrix. And an extension of the new inequality established is given when both A and B are nonsingular matrices of order n. In particular, for case n = 1 , a sharp result of the Young inequality is obtained.

关 键 词：GRAM矩阵 非奇异矩阵 特征根 FAN Ky不等式 

分 类 号：O151.21[理学—数学]