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Probabilistic Analysis of Simpson′s Quadrature

✍ Scribed by Sung Hee Choi

Book ID
102969887
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
728 KB
Volume
10
Category
Article
ISSN
0885-064X

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New error bounds for the Simpson’s quadr
New error bounds for the Simpson’s quadrature rule and applications
✍ Nenad Ujević 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 230 KB

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