On a Convexity Property
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 166
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In this article we proved an interesting property of the class of continuous convex functions. This leads to the form of pre-Hermite-Hadamard inequality which in turn admits a generalization of the famous Hermite-Hadamard inequality. Some further discussion is also given.
Classification :
39B62 26D15
Keywords: Continuous convex functions, Pre-Hermite-Hadamard inequalities, Generalization of Hermite-Hadamard inequality
Keywords: Continuous convex functions, Pre-Hermite-Hadamard inequalities, Generalization of Hermite-Hadamard inequality
@article{KJM_2016_40_2_a2,
author = {Slavko Simi\'c},
title = {On a {Convexity} {Property}},
journal = {Kragujevac Journal of Mathematics},
pages = {166 },
year = {2016},
volume = {40},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a2/}
}
Slavko Simić. On a Convexity Property. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 166 . http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a2/