Some Hermite‐Hadamard's type local fractional integral inequalities for generalized γ‐preinvex function with applications
Sa’ud Al-Sa’di, Maria Bibi, Muhammad Muddassar
Abstract
In this article, we define and investigate the concept of generalized ‐ preinvex function on the Yang's fractal set . Based on the auxiliary definitions and involving local fractional integrals, we established several generalizations of Hermite‐Hadamard type inequalities under certain conditions. Additionally, we discuss some examples to test our outcomes and some applications in the form of bounds for generalized moment of a continuous random variable.
Topics & Concepts
MathematicsHadamard transformHermite polynomialsType (biology)Moment (physics)Function (biology)Pure mathematicsSet (abstract data type)Applied mathematicsFractalMathematical analysisEvolutionary biologyBiologyProgramming languageClassical mechanicsPhysicsEcologyComputer scienceMathematical Inequalities and ApplicationsMathematical functions and polynomialsFractional Differential Equations Solutions