Geodesic
On Inequalities for Convex Functions
Journal of convex analysis, Tome 26 (2019) no. 2, pp. 437-448
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We study some properties enjoyed by convex functions. Among other results, we show some nontrivial inequalities among real numbers, and we give an improvement of the reverse triangle inequality in the particular case where three aligned points are considered in a normed space.
Classification : 26A51, 26B25, 39B62
Mots-clés : Convex function, convexity, midconvexity, inequality 
@article{JCA_2019_26_2_JCA_2019_26_2_a2,
     author = {L. Bernal-Gonz\'alez and P. Jim\'enez-Rodr{\'\i}guez and G. A. Munoz-Fern\'andez and J. B. Seoane-Sep\'ulveda},
     title = {On {Inequalities} for {Convex} {Functions}},
     journal = {Journal of convex analysis},
     pages = {437--448},
     year = {2019},
     volume = {26},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2019_26_2_JCA_2019_26_2_a2/}
}
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L. Bernal-González; P. Jiménez-Rodríguez; G. A. Munoz-Fernández; J. B. Seoane-Sepúlveda. On Inequalities for Convex Functions. Journal of convex analysis, Tome 26 (2019) no. 2, pp. 437-448. http://geodesic.mathdoc.fr/item/JCA_2019_26_2_JCA_2019_26_2_a2/