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Heinz均值凸性的一个注记(英文) 被引量:2

A note on the convexity of the Heinz means
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摘要 最近,对于任何的酉不变范数,KITTANEH得到了Heinz不等式的一个改进.在这篇注记中,得到了KIT-TANEH结果的一个改进. Recently, KITTANEH obtained an improvement of the Heinz inequality for all unitarily invariant norms. In this note, we obtain a refinement of KITTANEH's result. We shall conclude this paper with some numerical examples.
作者 邹黎敏
出处 《浙江大学学报(理学版)》 CAS CSCD 2013年第1期27-28,41,共3页 Journal of Zhejiang University(Science Edition)
基金 Supported by Natural Science Foundation Project of Chongqing Science and Technology Commission(No.CSTC,2010BB0314) Scientific Research Project of Chongqing Three Gorges University(No.11QN-21)
关键词 Heinz不等式 酉不变范数 半正定矩阵 Heinz inequality unitarily invariant norms positive semidefinite matrices
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参考文献5

  • 1BHATIA R,DAVIS C. More matrix forms of the arithmetic-geometric mean inequality[J].SIAM Journal on Matrix Analysis and Applications,1993.132-136.
  • 2KITTANEH F,MANASRAH Y. Improved Young and Heinz inequalities for matrices[J].Journal of Mathematical Analysis and Applications,2010,(1):262-269.
  • 3BHATIAR. Matrix Analysis[M].Berlin:springer-verlag,1997.
  • 4KITTANEH F. On the convexity of the Heinz means[J].Integral Equations and Operator theory,2010.519-527.
  • 5WANG S,ZOU L,JIANG Y. Some inequalities for unitarily invariant norms of matrices[J].Journal of Inequalities and Applications,2011.1-7.

同被引文献7

  • 1Bhatia R.Matrix Analysis[M].New York:Springer-Verlag,1997:91-95.
  • 2Bhatia R,Davis C.More matrix forms of the arithmetic-geometric mean inequality[J].SIAM Journal on Matrix Analysis and Applications,1993,14(1):132-136.
  • 3Kittaneh F,Manasrah Y.Improved Young and Heinz inequalities for matrices[J].Journal of Mathematical Analysis and Applications,2010,361(9):262-269.
  • 4ZOU Limin,JIANG Youyi.Inequalities for unitarily invariant norms[J].Journal of Mathematical Inequalities,2012,6(2):279-287.
  • 5Bhatia R,Kittaneh F.Notes on matrix arithmetic-geometric mean inequalities[J].Linear Algebra and Its Applications,2000,308(1):203-211.
  • 6HIAI F,ZHAN Xingzhi.Inequalities involving unitarily invariant norms and operator monotone functions[J].Linear Algebra and Its Applications,2002,341(2):151-169.
  • 7刘新,杨晓英,王亚强.酉不变范数不等式[J].江南大学学报(自然科学版),2015,14(5):663-665. 被引量:2

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