On parameterized inequalities for fractional multiplicative integrals

Abstract

Abstract In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>s</m:mi> </m:math> s -convex mappings. These inequalities include new discoveries and improvements upon some well-known results. Finally, we provide an illustrative example with graphical representations, along with some applications to special means of real numbers within the domain of multiplicative calculus.