Fractional Integral Estimates of Boole Type: Majorization and Convex Function Approach with Applications
Abstract
The goal of this paper is to use a Boole-type inequality framework to provide better estimates for differentiable functions. Using majorization theory, fractional integral operators are incorporated into a new auxiliary identity. The method establishes sharp bounds by combining the properties of convex functions with classical inequalities like the Power mean and Hölder inequalities, as well as the Niezgoda–Jensen–Mercer (NJM) inequality for majorized tuples. Additionally, the study presents real-world examples involving special functions and examines pertinent quadrature rules. This work’s primary contribution is the extension and generalization of a number of results that are already known in the current body of mathematical literature.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Optimization and Variational Analysis
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Fractal and Fractional
- Publisher
- MDPI AG
- Volume
- 10
- Issue
- 1
- Pages
- 49–49
- Publication date
- 12 January 2026
- Language
- EN