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Zbl 1132.41341
Ujević, Nenad
New error bounds for the Simpson's quadrature rule and applications. (English)
[J] Comput. Math. Appl. 53, No. 1, 64-72 (2007). ISSN 0898-1221

Summary: New error bounds for the well-known Simpson's quadrature rule are derived. If we use these bounds then we can apply the Simpson's rule to functions whose first, second or third derivatives are unbounded below or above. Furthermore, these error bounds can be (much) better than some recently obtained bounds. Applications in numerical integration are also given.
MSC 2000:
*41A55 Approximate quadratures
65D30 Numerical integration

Keywords: Simpson's rule; new error bounds; improvements; applications; numerical integration

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