Fractional Simpson-like Inequalities with Parameter for Differential s-tgs-Convex Functions
Meriem Merad, Badreddine Meftah, Hamid Boulares, Abdelkader Moumen, Mohamed Bouye
Abstract
In this paper, we first prove a new parameterized identity. Based on this identity we establish some parametrized Simpson-like type symmetric inequalities, for functions whose first derivatives are s-tgs-convex via Reimann–Liouville frational operators. Some special cases are discussed. Applications to numerical quadrature are provided.
Topics & Concepts
MathematicsParameterized complexityIdentity (music)Convex functionQuadrature (astronomy)Regular polygonPure mathematicsType (biology)InequalityApplied mathematicsDifferential (mechanical device)Mathematical analysisCombinatoricsPhysicsBiologyEcologyGeometryThermodynamicsOpticsAcousticsMathematical Inequalities and ApplicationsMathematical functions and polynomialsIterative Methods for Nonlinear Equations