A novel perspective on the Bullen and Milne inequalities through the use of multiplicatively absolute value

This article formulates a new version of multiplicative Bullen and Milne inequalities derived from constraints on multiplicative Riemann-Liouville fractional integrals. We establish these further inequalities under the multiplicative absolute value and on the assumption that the function is multiplicatively h-convex. Additionally, these results are presented for multiplicatively P-functions and multiplicatively s-convex functions. The final section introduces a novel definition of a multiplicative Lipschitzian function, accompanied by examples, properties and theorems.