Updating approach to midpoint inequality by using multiplicative absolute value

Abstract

In this article, we implemented the concept of multiplicative absolute value by demonstrating certain properties that were used in an exclusively multiplicative calculus framework to establish midpoint inequalities involving Riemann-Liouville multiplicative fractional integrals and positive differentiable functions whose multiplicative absolute value is $h$-convex. These findings are also shown for $P$-functions and $s$-convex functions.