Fractional inequalities of Milne type for twice differentiable m-convex and (α,m)-convex functions
In this study, we employ a special identity for twice differentiable functions that has been used in the literature.By combining this identity with Riemann-Liouville fractional integrals, we derive various fractional Milne-type inequalities for functions whose second derivatives in absolute value are m-convex and (, m)-convex.Furthermore, by applying Hlder's and Young's inequalities to these m-convex and (, m)-convex functions, we obtain several novel results.
Authors
- Sinan Aslan (ORCID: https://orcid.org/0000-0001-5970-1926)
- Ahmet Ocak Akdemi̇r (ORCID: https://orcid.org/0000-0003-2466-0508)
Publication Details
- Journal
- Electronic Journal of Mathematics
- Published
- 2025-09-26
- DOI
- https://doi.org/10.47443/ejm.2025.045
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00