Significant Approach of Hermite-Hadamard Type Fractional Inequalities for MET-\((p,s)\)-Convex Function and its Applications

There is a very close relation between convexity and fractional operators to improve well-known inequalities. Different types of inequality have been examined, providing new ways in the inequality literature. In this paper, we discuss Hermite-Hadamard extensions by successfully implementation of modified exponential trigonometry (MET)-\((p,s)\)-convexity with Riemann–Liouvile fractional operator (RL-FO). Moreover, we extract some corollaries which show the straingth of our main results. Furthermore, we discuss numerical implementation for specfic cases, special values of the parameters, and demonstrate that the derived outcome generalizes numerous inequalities that have been previously found in the literature.