Abstract

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.

Author information

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

Keywords

  • Convexity
  • approximate convexity
  • lower and upper Hermite-Hadamard inequalities

Mathematics Subject Classification

39B22, 39B12, 26A51, 26B25

Suggested citation

J. Makó, A. Házy. “On Approximate Hermite-Hadamard Type Inequalities.” Journal of Convex Analysis 24 (2017), No. 2, 349–363. https://doi.org/10.68381/jca24024

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Published by Heldermann Verlag, 2017. Rights now held by Banach Press.