Simpson- and Newton-Type Inequalities for Convex Functions via (p,q)-Calculus
Waewta Luangboon, Kamsing Nonlaopon, Jessada Tariboon, Sotiris K. Ntouyas
Abstract
In this paper, we establish several new (p,q)-integral identities involving (p,q)-integrals by using the definition of a (p,q)-derivative. These results are then used to derive (p,q)-integral Simpson- and Newton-type inequalities involving convex functions. Moreover, some examples are given to illustrate the investigated results.
Topics & Concepts
MathematicsConvex functionType (biology)Regular polygonInequalityCalculus (dental)Derivative (finance)Pure mathematicsConvex combinationApplied mathematicsMathematical analysisConvex optimizationGeometryEcologyEconomicsBiologyDentistryFinancial economicsMedicineMathematical Inequalities and ApplicationsIterative Methods for Nonlinear EquationsFractional Differential Equations Solutions