Geodesic
On Approximate Hermite-Hadamard Type Inequalities
Journal of convex analysis, Tome 24 (2017) no. 2, pp. 349-363
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The main results of this paper offer sufficient conditions in order that an approximate lower Hermite--Hadamard type inequality implies an approximate Jensen convexity property. The key for the proof of the main result is a Korovkin type theorem.
Classification : 39B22, 39B12, 26A51, 26B25
Mots-clés : Convexity, approximate convexity, lower and upper Hermite-Hadamard inequalities 
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     author = {J. Mak\'o and A. H\'azy},
     title = {On {Approximate} {Hermite-Hadamard} {Type} {Inequalities}},
     journal = {Journal of convex analysis},
     pages = {349--363},
     year = {2017},
     volume = {24},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a0/}
}
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J. Makó; A. Házy. On Approximate Hermite-Hadamard Type Inequalities. Journal of convex analysis, Tome 24 (2017) no. 2, pp. 349-363. http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a0/