LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS
Wenbing Sun
Abstract
In this paper, we establish some local fractional Ostrowski-type integral inequalities for generalized [Formula: see text]-convex functions on real linear fractal set [Formula: see text]. We present two examples to illustrate our main results. As applications, we establish some local fractional integral inequalities involving generalized moments of continuous random variables to estimate the bounds of generalized moments.
Topics & Concepts
MathematicsType (biology)Regular polygonPure mathematicsMathematical analysisSet (abstract data type)Convex functionApplied mathematicsGeometryProgramming languageEcologyBiologyComputer scienceMathematical Inequalities and ApplicationsMathematical functions and polynomialsProbabilistic and Robust Engineering Design