On error estimations of Simpson's second type quadrature formula
Samet Erden, Sabah Iftikhar, Poom Kumam, Phatiphat Thounthong
Abstract
In this paper, we derive some error estimates of Simpson's second type quadrature formula for functions of bounded variation and Lipschitzian mappings. Also, similar error estimations for absolutely continuous functions whose first derivatives belong to L p [ γ , δ ] with ( p < 1 ≤ ∞ ) are established. Finally, with the help of the results given in this work, some Simpson's type inequalities involving special means are presented.
Topics & Concepts
MathematicsQuadrature (astronomy)Bounded functionBounded variationType (biology)Numerical integrationApplied mathematicsMathematical analysisPure mathematicsEcologyBiologyEngineeringElectrical engineeringMathematical Inequalities and ApplicationsMathematical functions and polynomialsIterative Methods for Nonlinear Equations