ERROR INEQUALITIES FOR AN OPTIMAL QUADRATURE FORMULA

  • 발행 : 2007.05.31

초록

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.

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