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

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.