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矩阵Young不等式的改进
New refinement of Young inequality for matrices
【摘要】 Kittaneh和Manasrah近期对经典的Young不等式进行改进,包括矩阵迹不等式和矩阵行列式两种形式。根据他们已有的结论,利用相似的证明方法,改进了Young不等式,并分别对半正定矩阵的迹与行列式改进Young不等式,获得了一些新的不等式。
【Abstract】 Young inequality for matrices has been improved by Kittaneh and Manasrah recently.They mainly obtained two types of Young inequalities,including trace and determinant.Based on their results and by using the similar method,some new inequalities which sharpen present results are established.
【关键词】 Young不等式;
奇异值;
半正定矩阵;
【Key words】 Young inequality; singular value; positive semidefinitive matrices.;
【Key words】 Young inequality; singular value; positive semidefinitive matrices.;
【基金】 阜阳师范学院自然科学研究项目(2010FSKJ10)资助
- 【文献出处】 阜阳师范学院学报(自然科学版) ,Journal of Fuyang Teachers College(Natural Science) , 编辑部邮箱 ,2010年04期
- 【分类号】O178
- 【下载频次】194