Hermite-Hadamard type inequalities for new conditions on h-convex functions via ψ-Hilfer integral operators

We employ a new function class called B -function to create a new version of fractional Hermite–Hadamard and trapezoid type inequalities on the right-hand side that involves h -convex and ψ -Hilfer operators. We also provide new midpoint-type inequalities using h -convex functions.

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Bibliographic Details
Published in:	Analysis and mathematical physics Vol. 14; no. 2
Main Authors:	Benaissa, Bouharket, Azzouz, Noureddine, Budak, Hüseyin
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.04.2024
Subjects:	Analysis Mathematical Methods in Physics Mathematics Mathematics and Statistics Hermite–Hadamard inequality Primary 26D10 Fractional conformable integrals Fractional conformable derivative 26D15 26A33
ISSN:	1664-2368, 1664-235X
Online Access:	Get full text
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Summary:	We employ a new function class called B -function to create a new version of fractional Hermite–Hadamard and trapezoid type inequalities on the right-hand side that involves h -convex and ψ -Hilfer operators. We also provide new midpoint-type inequalities using h -convex functions.
ISSN:	1664-2368 1664-235X
DOI:	10.1007/s13324-024-00893-3