Harmonic Inequalities Associated With Left- and Right-Sided Fractional Integral Operators Pertaining Exponential Kernels With Applications

Hira Inam, Saad Ihsan Butt, Mohammed Alammar and Youngsoo Seol

Journal of Mathematics, 2026, vol. 2026, 1-21

Abstract: We derive the left- and right-sided fractional Hermite–Hadamard (H–H)-type inequalities for harmonic convex mappings from the left- and right-sided fractional integral operators possessing exponential kernels. In addition, we introduce two variants of fractional equalities that are further deployed with the idea differentiable harmonic convex mappings to explore refine fractional bounds for trapezoid and midpoint-type integral inequalities. We use Power-mean, Hölder’s, and improved Hölder inequality to derive new and refined fractional inequalities. In addition, we make the important connections between the obtained results and those classical integrals very clear. Strong visual illustrations make it evident how accurate and superior the provided technique is. The study includes several applications of special means and numerical quadrature rules. Our results generalize and extend some existing ones in the literature.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/1789949.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/1789949.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1789949

DOI: 10.1155/jom/1789949

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().