Some error estimates in the trapezoidal quadrature rule (Q2764886)

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scientific article; zbMATH DE number 1691097
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Some error estimates in the trapezoidal quadrature rule
scientific article; zbMATH DE number 1691097

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    16 September 2002
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    trapezoid formula
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    error estimates
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    Some error estimates in the trapezoidal quadrature rule (English)
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    The classical error estimate in the trapezoidal quadrature formula is for a function with bounded second derivative. The authors give sharp error estimates for functions whose first derivative are of Hölder's type and for functions whose second derivative is an \(L_{p}\)-function.
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