New Approach of Fractional Integral Inequalities Involving Interval-Valued Mappings with Applications to Matrix Analysis

Authors

Jamshed Nasir Department of Mathematics, Virtual University, Lahore Campus, 55150, Pakistan https://orcid.org/0000-0002-7141-4089
Sotiris K. Ntouyas Department of Mathematics, University of Ioannina, 451 10, Ioannina, Greece https://orcid.org/0000-0002-7695-2118
Muhammad Tariq Mathematics Research Center, Near East University, Near East Boulevard, Nicosia /Mersin, 99138, Turkey https://orcid.org/0000-0001-8372-2532
Jessada Tariboon Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand https://orcid.org/0000-0001-8185-3539

DOI:

https://doi.org/10.37256/cm.6520257841

Keywords:

Hermite-Hadamard inequality, convexity, HH's Mercer inequality, generalized fractional k-operator, interval-valued mapping

Abstract

Convexity via fractional calculus is a widely accepted concept that has attracted considerable interest in the field of applied mathematics. The aim of this paper is to develop new types of fractional Hermite-Hadamard-Mercer inequalities related to the generalized k-fractional conformable integral operator within the framework of interval analysis. To highlight the applicability of the concepts covered in this study, several illustrative examples are presented. The ideas and methods presented in this study could serve as a foundation for further research in this area.

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Published

2025-10-11

Issue

Contemporary Mathematics, Volume 6 Issue 5 (2025)

Section

Research Article

License

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