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Minkowski, Hölder and Chebyshev Type Inequality of Homogeneous Functions

Yang, Zhen-Hang (2005) Minkowski, Hölder and Chebyshev Type Inequality of Homogeneous Functions. Research report collection, 8 (4).

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Abstract

In this paper, we study the AA, GG, AG and GA convexities of homogeneous functions of two variables, of which simplified decision methods are presented. As applications, new simple proofs of H–type, Ch–type and M–type inequalities for homogeneous means or functions are given.

Item Type: Article
Uncontrolled Keywords: homogeneous functions, inequality, convexity
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 17 Nov 2011 04:28
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17454
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