Work

Integral inequalities involving a new class of generalized strongly modified $ (p, h) $-convex functions

Year: 2025

Type: article

Abstract: A novel class of generalized strongly modified (GSM) $ (p, h) $-convex functions (CFs) was presented in paper and its fundamental properties were established. Schur, Hermite-Hadamard (H-H), and Fejér inequalities were proved for this new notion of convexity. Several illustrations have been incorporated by selecting several GSM $ (p, h) $-CFs to substantiate the existence and feasibility of Schur, H-H, and Fejér-type inequalities. These inequalities are valuable resources for analyzing the characteristics of newly defined GSM $ (p, h) $-CFs. A comparison was given to show that the results of this study represent a significant improvement over those of earlier publications.

Source: AIMS Mathematics

DOI: 10.3934/math.2025763

Authors: Mudassir Hussain Bukhari, Ammara Nosheen, Khuram Ali Khan, Salwa El-Morsy, Tamador Alihia

Institutions: University of Sargodha, Qassim University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: Qassim University