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).
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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