On modified integral inequalities for a generalized class of convexity and applications

Date

2023

Authors

Srivastava, Hari Mohan
Tariq, Muhammad
Mohammed, Pshtiwan Othman
Alrweili, Hleil
Al-Sarairah, Eman
De Le Sen, Manuel

Journal Title

Journal ISSN

Volume Title

Publisher

Axioms

Abstract

In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities in the frame of the Hermite–Hadamard type. A unique equality is established for differentiable mappings. The Hermite–Hadamard inequality is extended and estimated in a number of new ways with the help of this equality to strengthen the findings. Finally, we investigate and explore some applications for some special functions. We think the approach examined in this work will further pique the interest of curious researchers.

Description

Keywords

convexity theory, p-convex function, m-convex function, Hermite–Hadamard inequality

Citation

Srivastava, H. M., Tariq, M., Mohammed, P. O., Alrweili, H., Al-Sarairah, E., & De La Sen, M. (2023). On modified integral inequalities for a generalized class of convexity and applications. Axioms, 12(2), 162. https://doi.org/10.3390/axioms12020162