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Some parameterized Simpson’s type inequalities for differentiable convex functions involving generalized fractional integrals

Xuexiao You, Muhammad Aamir Ali, Hüseyin Budak, Hasan Kara, Dafang Zhao

2022Advances in Continuous and Discrete Models11 citationsDOIOpen Access PDF

Abstract

Abstract In this paper, we establish some new inequalities of Simpson’s type for differentiable convex functions involving some parameters and generalized fractional integrals. The results given in this study are a generalization of results proved in (Du, Li and Yang in Appl. Math. Comput. 293:358–369, 2017).

Topics & Concepts

Differentiable functionMathematicsParameterized complexityGeneralizationType (biology)Convex functionRegular polygonFractional calculusPure mathematicsApplied mathematicsMathematical analysisCombinatoricsBiologyEcologyGeometryMathematical Inequalities and ApplicationsOptimization and Variational AnalysisIterative Methods for Nonlinear Equations
Some parameterized Simpson’s type inequalities for differentiable convex functions involving generalized fractional integrals | Litcius