On inequalities for convex functions

On inequalities for convex functions

We study some properties convex functions fulfill. Among the conclusions we obtain from such result, we are able to prove 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...

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Veröffentlicht in:arXiv.org 2017-10
Hauptverfasser: Bernal-González, Luis, Jiménez-Rodríguez, Pablo, Muñoz-Fernández, Gustavo Adolfo, Juan Benigno Seoane-Sepúlveda
Format: Artikel
Sprache:eng
Schlagworte:
Convex analysis
Inequalities
Real numbers
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Zusammenfassung:We study some properties convex functions fulfill. Among the conclusions we obtain from such result, we are able to prove 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.
ISSN:2331-8422