Some new Simpson's type inequalities for coordinated convex functions in quantum calculus
Muhammad Aamir Ali, Hüseyin Budak, Zhiyue Zhang, Hüseyin Yıldırım
Abstract
In this article, by using the notion of newly defined q 1 q 2 derivatives and integrals, some new Simpson's type inequalities for coordinated convex functions are proved. The outcomes raised in this paper are extensions and generalizations of the comparable results in the literature on Simpson's inequalities for coordinated convex functions.
Topics & Concepts
MathematicsConvex functionType (biology)InequalityPure mathematicsRegular polygonJensen's inequalityCalculus (dental)Convex combinationConvex analysisAlgebra over a fieldConvex optimizationMathematical analysisGeometryBiologyDentistryMedicineEcologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsMathematical functions and polynomials