Exponential type convexity and some related inequalities
Mahir Kadakal, İmdat Işcan
Abstract
Abstract In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the H-H inequality for functions whose first derivative in absolute value at certain power is exponential type convex.
Topics & Concepts
MathematicsExponential typeConvexityExponential functionConvex functionType (biology)Algebraic numberPure mathematicsClass (philosophy)Hadamard transformHermite polynomialsInequalityRegular polygonMathematical analysisComputer scienceGeometryFinancial economicsBiologyArtificial intelligenceEconomicsEcologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsMathematical functions and polynomials