Journal of applied mathematics & informatics
- Volume 24 Issue 1_2
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- Pages.65-79
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
ERROR INEQUALITIES FOR AN OPTIMAL QUADRATURE FORMULA
Abstract
An optimal 3-point quadrature formula of closed type is derived. It is shown that the optimal quadrature formula has a better error bound than the well-known Simpson's rule. A corrected formula is also considered. Various error inequalities for these formulas are established. Applications in numerical integration are given.