Hermite-Hadamard type inequalities for new class h-convex mappings utilizing weighted generalized fractional integrals
Mathematica Slovaca, vol.75, no.4, pp.791-806, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 75 Issue: 4
- Publication Date: 2025
- Doi Number: 10.1515/ms-2025-0058
- Journal Name: Mathematica Slovaca
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Page Numbers: pp.791-806
- Keywords: (k, ψ)-Hilfer operators, B-function, h-convex function, Hermite-Hadamard inequality, midpoint inequality, trapezoid inequality, weighted inequalities
- Kocaeli University Affiliated: Yes
Abstract
In this paper, we first introduce the fractional integral operators of a function with respect to another function. Then, we prove a new version of Hermite-Hadamard for newly introduced fractional integral operators. For this aim, we use the h-convex function in the case the function h is a B-function. Moreover, we also establish several corresponding trapezoid and midpoint type inequalities by using h-convex function and Hölder inequality.