Exploring Hermite–Hadamard-type Inequalities via ψ-conformable Fractional Integral Operators
New Hermite-Hadamard inequalities for convex functions utilizing ψ-conformable fractional integral operators have been established. These represent extensions of many significant fractional operators, such as the Riemann-Liouville and Hadamard operators. Additionally, we establish generalized midpoint- and trapezoidal-type inequalities for these fractional integrals. These inequalities are expansions of other prior investigations.
Authors
- Bouharket Benaissa (ORCID: https://orcid.org/0000-0002-1195-6169)
- Noureddine Azzouz (ORCID: https://orcid.org/0000-0003-0658-2438)
Institutions
- Université IBN Khaldoun Tiaret (DZ)
- Centre Universitaire Nour Bachir El Bayadh (DZ)
Publication Details
- Journal
- Journal of Inequalities and Mathematical Analysis
- Published
- 2025-04-14
- DOI
- https://doi.org/10.63286/jima.2025.02
- Citations
- 1
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 3.73