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.

Contact details are reproduced from the original publication and may be historical.

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

J. Makó, A. Házy. “On Approximate Hermite-Hadamard Type Inequalities.” Journal of Convex Analysis 24 (2017), No. 2, 349–363.