On Estimation of the Bullen-Mercer Inequality for Several Classes
This study establishes Bullen-Mercer type inequalities for $h$-convex functions that use Riemann-Liouville fractional operators. The subject matter is a novel fractional version of the existing Bullen-Mercer type inequalities, with simple computations based on the $B$-function. Moreover, new results on Bullen-Mercer-type inequalities are presented for bounded and Lipschitzian functions.
Authors
- Noureddine Azzouz (ORCID: https://orcid.org/0000-0003-0658-2438)
- Bouharket Benaissa
- Ahmed Hallouz
Institutions
- Université IBN Khaldoun Tiaret (DZ)
- Centre Universitaire Nour Bachir El Bayadh (DZ)
Publication Details
- Journal
- SHILAP Revista de lepidopterología
- Published
- 2025-10-01
- DOI
- https://doi.org/10.22130/scma.2025.2053840.2066
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00