ON THE BULLEN-TYPE INEQUALITIES VIA GENERALIZED FRACTIONAL INTEGRALS AND THEIR APPLICATIONS
Tingsong Du, Chunyan Luo, Zhijie Cao
Abstract
By using generalized fractional integrals, some Bullen-type inequalities are derived where the first derivative of considered functions is Lipschitzian, bounded or generalized [Formula: see text]-preinvex. These results are also applied to the estimation of the moments of the random variable, Bullen-type quadrature formula and certain other special means. Meanwhile, three numerical examples provided in terms of the proposed method illustrate that the approach is effortless to implement and computationally attractive.
Topics & Concepts
MathematicsType (biology)Quadrature (astronomy)Fractional calculusApplied mathematicsBounded functionVariable (mathematics)Calculus (dental)Mathematical analysisPure mathematicsMedicineDentistryEcologyEngineeringBiologyElectrical engineeringMathematical Inequalities and ApplicationsMathematical functions and polynomialsFunctional Equations Stability Results