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More on the averaged midpoint-trapezoid type rules
Authors:Zheng Liu
Institution:Institute of Applied Mathematics, School of Science, University of Science and Technology Liaoning, Anshan 114051, Liaoning, China
Abstract:A generalization of the corrected averaged midpoint-trapezoid rule is derived. Various error bounds for this generalization are established.
Keywords:Simpson type rule  Averaged midpoint-trapezoid rule  Corrected averaged midpoint-trapezoid rule  Sharp bound  Absolutely continuous  Bounded variation  Lipschitzian mapping
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