Work

On generalization of integral inequalities for strongly Φ-convex functions using Riemann-Liouville operators

Year: 2025

Type: article

Abstract: This article introduces novel integral identities and results, with a particular focus on strongly Φ-convex functions and their associated inequalities. By leveraging Riemann-Liouville (RL) fractional integral operators, we first define strongly Φ-convex functions and establish Hermite-Hadamard type inequalities for these functions. Building on this foundation, we derive new identities and present fresh results for key inequalities, including Hölder’s inequality, Young’s inequality, and the Power mean inequality, specifically tailored to strongly Φ-convex functions. Our findings not only expand on existing literature but also reveal important connections between previously recognized results and our new contributions, offering deeper insights into the study of integral inequalities.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02154-z

Authors: Muhammad Sadaqat Talha, Waseem Razzaq, Abdulrahman Alomair, Abdulaziz S. Al Naim

Institutions: COMSATS University Islamabad, King Faisal University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funder: King Faisal University