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Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions

Serap Özcan

2020AIMS Mathematics33 citationsDOIOpen Access PDF

Abstract

In this paper, some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions are established. Also, new inequalities involving multiplicative integrals are obtained for product and quotient of preinvex and multiplicatively preinvex functions.

Topics & Concepts

Hadamard transformMathematicsHermite polynomialsMultiplicative functionType (biology)Pure mathematicsQuotientInequalityMathematical analysisEcologyBiologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsOptimization and Variational Analysis