Journal of Convex Analysis 24 (2017), No. 2, 349--363
Copyright Heldermann Verlag 2017
On Approximate Hermite-Hadamard Type Inequalities
Judit Makó
Institute of Mathematics, University of Miskolc, 3515 Miskolc-Egyetemváros, Hungary
matjudit@uni-miskolc.hu
Attila Házy
Institute of Mathematics, University of Miskolc, 3515 Miskolc-Egyetemváros, Hungary
matha@uni-miskolc.hu
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.
Keywords: Convexity, approximate convexity, lower and upper Hermite-Hadamard inequalities.
MSC: 39B22, 39B12, 26A51, 26B25
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