New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions
Pshtiwan Othman Mohammed, Thabet Abdeljawad, Dumitru Bǎleanu, Artion Kashuri, Faraidun K. Hamasalh, Praveen Agarwal
Abstract
Abstract A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results.
Topics & Concepts
MathematicsHermite polynomialsHadamard transformType (biology)Convex functionPure mathematicsInequalityFractional calculusGamma functionRegular polygonMathematical analysisEcologyGeometryBiologyMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsMathematical functions and polynomials