Some New Inequalities Involving Generalized Convex Functions in the Katugampola Fractional Setting

Authors

Sikander Mehmood Department of Mathematics, Government Graduate College, Sahiwal, 57000, Pakistan
Dumitru Baleanu Department of Computer Science and Mathematics, Lebanese American University, Beirut, 11022801, Lebanon
Majeed Ahmad Yousif Department of Mathematics, College of Education, University of Zakho, Zakho, 42002, Iraq https://orcid.org/0000-0002-0206-3828
Pshtiwan Othman Mohammed Department of Mathematics, College of Education, University of Sulaimani, Sulaymaniyah, 46001, Iraq
Abdullah Abbas Department of Mathematics, Government Graduate College, Sahiwal, 57000, Pakistan
Nejmeddine Chorfi Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.6420257169

Keywords:

integral inequalities, generalized convex functions, Katugampola fractional operators, Hermite-Hadamard inequality, symmetric function

Abstract

In this study, we explore a new class of convex functions termed cr-log-h-convex functions within the framework of interval-valued functions and the cr-order. We introduce and analyze fundamental properties of these functions and establish several Hermite-Hadamard inequalities by employing Katugampola fractional integrals. To illustrate the theoretical results, we present numerical examples that validate the proposed inequalities. This work extends the understanding of convexity concepts and their applications, offering a broader perspective on inequalities in real analysis and fuzzy systems.

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Published

2025-07-25

Issue

Contemporary Mathematics, Volume 6 Issue 4 (2025), 3846-5367

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.