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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,  
 
  Abstract:

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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