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New error bounds for the Simpson’s quadrature rule and applications

✍ Scribed by Nenad Ujević

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
230 KB
Volume
53
Category
Article
ISSN
0898-1221

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✦ Synopsis

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.

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