Minkowski, Hölder and Chebyshev Type Inequality of Homogeneous Functions

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

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
URI https://vuir.vu.edu.au/id/eprint/17454
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords homogeneous functions, inequality, convexity
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