On Hermite–Hadamard–Fejér Inequalities Within Postquantum Coordinate Frameworks

Jen Chieh Lo

Journal of Applied Mathematics, 2026, vol. 2026, 1-23

Abstract: In this paper, we investigate new forms of Hermite–Hadamard–Fejér type inequalities on the coordinates within the framework of postquantum (p,q)-calculus. By extending the classical Hermite–Hadamard–Fejér inequalities to the setting of coordinated convex functions, we establish several novel integral inequalities involving (p,q)-derivatives and (p,q)-integrals. The results presented here provide a unified approach that not only generalizes existing inequalities in quantum and classical calculus but also yields sharp estimations in the postquantum context. Potential applications of these results are discussed, highlighting their significance in the broader theory of inequalities and in the development of analytical tools for applied mathematics.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jam/2026/2297855.pdf (application/pdf)
http://downloads.hindawi.com/journals/jam/2026/2297855.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:jnljam:2297855

DOI: 10.1155/jama/2297855

Access Statistics for this article

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