Hermite–Hadamard Type Inequalities for Interval-Valued Preinvex Functions via Fractional Integral Operators
H. M. Srivastava, Soubhagya Kumar Sahoo, Pshtiwan Othman Mohammed, Dumitru Bǎleanu, Bibhakar Kodamasingh
Abstract
Abstract In this article, the notion of interval-valued preinvex functions involving the Riemann–Liouville fractional integral is described. By applying this, some new refinements of the Hermite–Hadamard inequality for the fractional integral operator are presented. Some novel special cases of the presented results are discussed as well. Also, some examples are presented to validate our results. The established outcomes of our article may open another direction for different types of integral inequalities for fractional interval-valued functions, fuzzy interval-valued functions, and their associated optimization problems.
Topics & Concepts
MathematicsHadamard transformInterval (graph theory)Hermite polynomialsType (biology)Fractional calculusOperator (biology)Riemann integralPure mathematicsInequalityApplied mathematicsMathematical analysisFourier integral operatorOperator theoryCombinatoricsChemistryBiochemistryEcologyTranscription factorGeneBiologyRepressorMathematical Inequalities and ApplicationsMulti-Criteria Decision MakingOptimization and Variational Analysis