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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 564=29, 2025.

Original scientific paper

https://doi.org/10.21857/9e31lhzoqm

The Hermite-Hadamard inequality for MφMψ-h-convex functions and related interpolations

Sanja Varošanec ; University of Zagreb, Faculty of Science, Department of Mathematics, Bijenička 30, 10000 Zagreb, Croatia

Full text: english pdf 616 Kb

page 187-205

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Abstract

In this paper we consider the Hermite-Hadamard inequality for MφMψ-h-convex functions. An MφMψ-h-convexity covers several particular types of generalized convexity such as a harmonic-h-convexity, a log-h-convexity, (h, p)-convexity, MpA-h-convexity, MφMψ-convexity etc. The Hermite-Hadamard type inequalities with two and with n nodes are given. Special attention is paid to a dyadic partition of an interval and related interpolations.

Keywords

Hermite-Hadamard inequality; MφMψ-h-convex function; quasi-arithmetic mean; dyadic partition

Hrčak ID:

326521

URI

https://hrcak.srce.hr/326521

Publication date:

9.1.2025.

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