A Study of Some New Hermite-Hadamard Inequalities via Specific Convex Functions with Applications

Junjua, Moin-ud-Din and Qayyum, Ather and Munir, Arslan and Budak, Huseyin and Saleem, Muhammad Mohsen and Supadi, Siti Suzlin (2024) A Study of Some New Hermite-Hadamard Inequalities via Specific Convex Functions with Applications. Mathematics, 12 (3). p. 478. ISSN 2227-7390, DOI https://doi.org/10.3390/math12030478.

Full text not available from this repository.
Official URL: https://doi.org/10.3390/math12030478

Abstract

Convexity plays a crucial role in the development of fractional integral inequalities. Many fractional integral inequalities are derived based on convexity properties and techniques. These inequalities have several applications in different fields such as optimization, mathematical modeling and signal processing. The main goal of this article is to establish a novel and generalized identity for the Caputo-Fabrizio fractional operator. With the help of this specific developed identity, we derive new fractional integral inequalities via exponential convex functions. Furthermore, we give an application to some special means.

Item Type: Article
Funders: UNSPECIFIED
Uncontrolled Keywords: exponential convex function; fractional integrals; Holder's inequality; power-mean inequality
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 08 Nov 2024 07:12
Last Modified: 08 Nov 2024 07:12
URI: http://eprints.um.edu.my/id/eprint/45687

Actions (login required)

View Item View Item