The N-Dimensional Version Of The Conjectured Inequality From The 42nd International Mathematical Olympiad, Washington Dc 2001

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Satnoianu, Razvan (2001) The N-Dimensional Version Of The Conjectured Inequality From The 42nd International Mathematical Olympiad, Washington Dc 2001. RGMIA research report collection, 5 (Supp).

Abstract

We consider the n-dimensional conjectured inequality from [1] which generalises the 2nd problem given at the most recent IMO (Washington, DC 2001) [2]. This conjectured inequality is finer than inequalities based on the AM-GM inequality or convexity properties separately. Here we establish a more general result, which in turn shows the validity of the conjecture in [1]. The method is elementary and allows us to give further extensions to a large class of functions.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/18086
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords analytic inequalities, homogeneous and symmetric functions, IMO competition
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