Better Approximation of Milne-Type Inequalities via Convex Functions and ABK Fractional Integral Operators

Muhammad Bilal Ahmed, Khuram Ali Khan, Ammara Nosheen and Ndolane Sene

Journal of Applied Mathematics, 2026, vol. 2026, 1-17

Abstract: In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne-type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been created by changing the order of the fractional integral. Additionally, an example and a graphical depiction are supplied to elucidate the main conclusions of our study.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jam/2026/4503846.pdf (application/pdf)
http://downloads.hindawi.com/journals/jam/2026/4503846.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:4503846

DOI: 10.1155/jama/4503846

Access Statistics for this article

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