Generalized power means and interpolating inequalities

Ku, Hsu-Tung; Ku, Mei-Chin; Zhang, Xin-Min

doi:10.1090/S0002-9939-99-04845-5

Generalized power means and interpolating inequalities
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by Hsu-Tung Ku, Mei-Chin Ku and Xin-Min Zhang PDF

Proc. Amer. Math. Soc. 127 (1999), 145-154 Request permission

Abstract:

In this paper, we introduce a multi-parameter family of generalized power means, and use their special properties to provide a new method of interpolating inequalities. We give a different refinement of an inequality of Ky Fan as a particular application of our method.

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