On Hermite-Hadamard type inequalities for multiplicative fractional integrals
Hüseyin Budak, Kubilay Özçelik
Abstract
In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving multiplicative fractional integrals.
Topics & Concepts
MathematicsHadamard transformHermite polynomialsMultiplicative functionType (biology)InequalityPure mathematicsMathematical analysisEcologyBiologyMathematical Inequalities and ApplicationsMathematical functions and polynomialsDifferential Equations and Boundary Problems