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  Volume 8, Issue 2, Article 44
A Refinement of Hölder's Inequality and Applications

    Authors: Xuemei Gao, Mingzhe Gao, Xiaozhou Shang,  
    Keywords: Inner product space, Gram matrix, Variable unit-vector, Minkowski's inequality, Fan Ky's inequality, Hardy's inequality.  
    Date Received: 10/02/07  
    Date Accepted: 10/06/07  
    Subject Codes:

26D15, 46C99

    Editors: Sever S. Dragomir,  

In this paper, it is shown that a refinement of Hölder's inequality can be established using the positive definiteness of the Gram matrix. As applications, some improvements on Minkowski's inequality, Fan Ky's inequality and Hardy's inequality are given.

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