New General Integral Inequalities for Polynomial Convexity in the Framework of k-Riemann–Liouville Fractional Operators

Çetin Yıldız, Ferhat Polat, Fady Hasan and Nabil Mlaiki

Journal of Applied Mathematics, 2026, vol. 2026, 1-11

Abstract: The Hermite–Hadamard inequality, which is widely recognized and studied in the field of inequalities, and the k-Riemann–Liouville fractional integral inequality, which is a generalization of the Riemann–Liouville fractional operator in operator theory, play a significant role in the existing literature concerning the concept of inequality. Along with the definitions, theorems, and inequalities already in the literature, new generalizations have been created based on the properties of the convex function discussed in this article, which are called n-polynomial ς-convex functions. Hölder, power mean, and Young inequalities have been utilized to derive these significant results. Consequently, it is hypothesized that the new theorems obtained in this paper will serve as a guide for future work in this area.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jam/2026/3455288.pdf (application/pdf)
http://downloads.hindawi.com/journals/jam/2026/3455288.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:3455288

DOI: 10.1155/jama/3455288

Access Statistics for this article

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