Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions
Meriem Merad, Badreddine Meftah, Abdelkader Moumen, Mohamed Bouye
Abstract
This paper’s major goal is to prove some symmetrical Maclaurin-type integral inequalities inside the framework of multiplicative calculus. In order to accomplish this and after giving some basic tools, we have established a new integral identity. Based on this identity, some symmetrical Maclaurin-type inequalities have been constructed for functions whose multiplicative derivatives are bounded as well as convex. At the end, some applications to special means are provided.
Topics & Concepts
MathematicsMultiplicative functionType (biology)InequalityRegular polygonBounded functionIdentity (music)Pure mathematicsConvex functionCalculus (dental)Fractional calculusAlgebra over a fieldApplied mathematicsMathematical analysisGeometryDentistryMedicineBiologyPhysicsEcologyAcousticsMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsOptimization and Variational Analysis