Better Approximation of Milne‐Type Inequalities via Convex Functions and ABK Fractional Integral Operators
Abstract
In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been created by changing the order of the fractional integral. Additionally, an example and a graphical depiction are supplied to elucidate the main conclusions of our study.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Approximation Theory and Sequence Spaces
Optimization and Variational Analysis
Publication details
- Journal / source
- Journal of Applied Mathematics
- Publisher
- Wiley
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN