Applied Mathematics E-Notes [electronic only] · 2011 · 30 citations · 11 references
Numerical AnalysisEngineeringThird DerivativesNumerical Quadrature RuleConvex OptimizationSimpson TypeQuasi-convex FunctionsFunctional AnalysisVariational InequalityApproximation TheoryVariational Inequalities
Some inequalities of Simpson’s type for quasi-convex functions in terms of third derivatives are introduced. Applications to Simpson’s numerical quadrature rule is also given.
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On Simpson's inequality and applications
Pietro Cerone · Journal of Inequalities and Applications · 2000 · 261 citations