Parametrized multiplicative integral inequalities
Assia Frioui, Badreddine Meftah, Ali Shokri, Abdelghani Lakhdari, Herbert Mukalazi
Abstract
Abstract In this paper, we introduce a biparametrized multiplicative integral identity and employ it to establish a collection of inequalities for multiplicatively convex mappings. These inequalities encompass several novel findings and refinements of established results. To enhance readers’ comprehension, we offer illustrative examples that highlight appropriate choices of multiplicatively convex mappings along with graphical representations. Finally, we demonstrate the applicability of our results to special means of real numbers within the realm of multiplicative calculus.
Topics & Concepts
Multiplicative functionInequalityMathematicsApplied mathematicsCalculus (dental)Mathematical economicsPure mathematicsMathematical analysisMedicineDentistryMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsAdvanced Banach Space Theory