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arXiv · 1710.05238

On inequalities for convex functions

Luis Bernal-González·Pablo Jiménez-Rodríguez·Gustavo Adolfo Muñoz-Fernández·Juan Benigno Seoane-Sepúlveda
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Abstract

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.

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Luis Bernal-González, Pablo Jiménez-Rodríguez, Gustavo Adolfo Muñoz-Fernández, Juan Benigno Seoane-Sepúlveda. 2017-10-14. On inequalities for convex functions. https://arxiv.org/abs/1710.05238

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