A GENERALIZED INEQUALITY IN NON-NEWTONIAN CALCULUS USING A MULTIPLICATIVE ABSOLUTE VALUE FOR TWICE-DIFFERENTIABLE FUNCTIONS

The present paper introduces a novel general inequality derived from functions that are twice differentiable in a multiplicative sense, according to the Riemann integral. By employing the multiplicative absolute value and presuming that the function demonstrates multiplicative h-convexity, we can derive further inequality principles. We also present these results for multiplicatively s-convex functions and P-functions. The final section discusses specific cases, including trapezoids, midpoints, Bullen, Milne, and Simpson multiplicative inequalities.