Work

New developments in fractional Hermite-Hadamard type inequalities through $(\alpha,m)$-convex functions

Year: 2025

Type: article

Abstract: This work aims to establish new fractional integral inequalities of the Hermite-Hadamard type. These results are explored by combining the Riemann-Liouville fractional integrals in a new identity and then applying extended class of convex functions. The limiting cases of the novel results are presented in terms of remarks that connect our findings to the body of existing literature. Furthermore, we present inequalities in the form of some special means as applications of the main results.

Source: Hacettepe Journal of Mathematics and Statistics

DOI: 10.15672/hujms.1554049

Authors: Muzammil Mukhtar, Ayesha Firdous, Muhammad Samraiz

Institutions: Islamia University of Bahawalpur, University of Sargodha

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409370619

FWCI:

Cites: 1

Cited by:

Related to: 10