Fractional Bullen-Type Inequalities for Coordinated Convex Functions
Abstract
In this paper, we present a novel identity for twice partially differentiable mappings. Based on this identity, new fractional Bullen-type inequalities for differentiable functions of two variables, which are convex on the coordinate via Riemann–Liouville fractional integral operators are derived. Other results are obtained by applying integral inequalities, including the Hölder, the improved Hölder, and the power mean inequalities. We apply these findings to special means. A numerical example with graphical illustrations is presented to demonstrate the validity and effectiveness of our theoretical findings.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Optimization and Variational Analysis
Contact Mechanics and Variational Inequalities
Publication details
- Journal / source
- Axioms
- Publisher
- MDPI AG
- Volume
- 15
- Issue
- 4
- Pages
- 292–292
- Publication date
- 15 April 2026
- Language
- EN