Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Hermite-Hadamard inequality; MφMψ-h-convex function; quasi-arithmetic mean; dyadic partition
Hrčak ID:
326521
URI
Datum izdavanja:
9.1.2025.
Posjeta: 0 *