On parameterized inequalities for fractional multiplicative integrals

Abstract

In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-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.

Keywords

• parametrized identity
• integral inequalities
• fractional multiplicative integral
• multiplicative s-convexity
• 26a33
• 26a51
• 26d10
• 26d15