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Volume 8, Issue 2, Article 44 |
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A Refinement of Hölder's Inequality and Applications
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Authors: |
Xuemei Gao, Mingzhe Gao, Xiaozhou Shang, |
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Keywords:
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Inner product space, Gram matrix, Variable unit-vector, Minkowski's inequality, Fan Ky's inequality, Hardy's inequality. |
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Date Received:
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10/02/07 |
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Date Accepted:
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10/06/07 |
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Subject Codes: |
26D15, 46C99
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Editors: |
Sever S. Dragomir, |
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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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