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Inequalities for symmetric means, symmetric harmonic means, and their applications

Published online by Cambridge University Press:  17 April 2009

Hsu-Tung Ku ,
Mei-Chin Ku  and
Xin-Min Zhang
Hsu-Tung Ku
Affiliation:
Department of Mathematics and StatisticsUniversity of Massachusetts at AmherstAmherst, MA 01003United States of America, e-mail: hku@math.umass.edu, meiku@math.umass.edu
Mei-Chin Ku
Affiliation:
Department of Mathematics and StatisticsUniversity of Massachusetts at AmherstAmherst, MA 01003United States of America, e-mail: hku@math.umass.edu, meiku@math.umass.edu
Xin-Min Zhang
Affiliation:
Department of Mathematics and StatisticsUniversity of South AlabamaMobile, AL 36688United States of America e-mail: zhang@mathstat.usouthal.edu
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Abstract

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In this paper, we establish a number of inequalities involving symmetric means and symmetric harmonic means. We then apply these new inequalities to obtain many geometric inequalities of isoperimetric type for plane polygons.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 409 - 420
Copyright
Copyright © Australian Mathematical Society 1997

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