Hermite-Hadamard type inequalities for new class <i>h</i>-convex mappings utilizing weighted generalized fractional integrals
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.
Authors
- Bouharket Benaissa (ORCID: https://orcid.org/0000-0002-1195-6169)
- Noureddine Azzouz (ORCID: https://orcid.org/0000-0003-0658-2438)
- Samet Erden (ORCID: https://orcid.org/0000-0001-8430-7533)
- Hüseyin Budak (ORCID: https://orcid.org/0000-0001-8843-955X)
Institutions
- Bartin University (TR)
- Université IBN Khaldoun Tiaret (DZ)
- Centre Universitaire Nour Bachir El Bayadh (DZ)
- Kocaeli Üniversitesi (TR)
- Saveetha University (IN)
Publication Details
- Journal
- Mathematica Slovaca
- Published
- 2025-08-01
- DOI
- https://doi.org/10.1515/ms-2025-0058
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00