Some weighted Simpson type inequalities for differentiable s–convex functions and their applications
Artion Kashuri, Badreddine Meftah, Pshtiwan Othman Mohammed
Abstract
In this study, by using a new identity we establish some new Simpson type inequalities for differentiables–convex functions in the second sense. Various special cases have been studied in details. Also, in order to illustrate the efficient of our main results, some applications to special means and weighted Simpson quadrature formula are given. The obtained results generalize and refine certain known results. At the end, a brief conclusion is given as well.
Topics & Concepts
MathematicsDifferentiable functionConvex functionQuadrature (astronomy)Type (biology)InequalityRegular polygonPure mathematicsIdentity (music)Applied mathematicsCalculus (dental)Mathematical analysisMedicineBiologyPhysicsElectrical engineeringEcologyGeometryDentistryEngineeringAcousticsMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsIterative Methods for Nonlinear Equations