Hermite–Hadamard Type Inequalities Involving (k-p) Fractional Operator for Various Types of Convex Functions
Vuk Stojiljković, Rajagopalan Ramaswamy, Fahad Sameer Alshammari, Ola A. Ashour Abdelnaby, Mohammed Lahy Hassan Alghazwani, Stojan Radenović
Abstract
We establish various fractional convex inequalities of the Hermite–Hadamard type with addition to many other inequalities. Various types of such inequalities are obtained, such as (p,h) fractional type inequality and many others, as the (p,h)-convexity is the generalization of the other convex inequalities. As a consequence of the (h,m)-convexity, the fractional inequality of the (s,m)-type is obtained. Many consequences of such fractional inequalities and generalizations are obtained.
Topics & Concepts
MathematicsConvexityConvex functionType (biology)Hadamard transformHermite polynomialsGeneralizationInequalityPure mathematicsJensen's inequalityOperator (biology)Fractional calculusRegular polygonMathematical analysisConvex optimizationConvex analysisGeometryEconomicsChemistryBiochemistryFinancial economicsEcologyGeneBiologyRepressorTranscription factorMathematical Inequalities and ApplicationsFunctional Equations Stability Results