Convex functions and inequalities in the secondary school
A function f : Df → R is called convex if for any x, y ∈ Df the inequality f ( x+y/2 ) \leq (f (x)+f (y) )/2 holds. We prove the main property of the convex fonctions (inequality (4)) and also the inequalities which the arithmetic, geometric, harmonic and quadratic means of several positive number...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2008-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.journals.vu.lt/LMR/article/view/18081 |