Improved Ga-Convexity Inequalities

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Satnoianu, Razvan A (2002) Improved Ga-Convexity Inequalities. RGMIA research report collection, 5 (Supp).


We consider a class of algebraic inequalities for functions of n variables depending on parameters that generalise the case of GA-convex functions. The functions in this class are GA-convex only in a subdomain of definition yet the inequality for GAconvexity still holds on the whole domain if suitable conditions are satisfied by the parameters. The method is elementary and allows us to give further extensions to a large class of functions.

Item type Article
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 convex functions, GA-convexity, symmetric functions, IMO competition
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