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On Bullen-Type Inequalities for Fractional Integrals with Exponential Kernels

Year: 2025

Type: article

Abstract: In this paper, we investigate the Bullen inequality in the context of fractional integrals with exponential kernels. Building upon the foundational works in the field, we first introduce a new integral identity. From this identity, we derive several novel Bullen-type inequalities for differentiable convex functions. To validate our theoretical findings, we provide a numerical example along with graphical representations, demonstrating the accuracy and applicability of our results. The results obtained are not only new for the fractional integrals considered in our study, but as \(\alpha\) approaches 1, we also derive additional novel results for the classical integral.

Source: DOAJ (DOAJ: Directory of Open Access Journals)

DOI: 10.22130/scma.2024.2030599.1748

Authors: Romaissa Sassane, Abdelghani Lakhdari, Badreddine Meftah

Institutions: National Higher School of Technology and Engineering Annaba, University of Guelma

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6907780801

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