Error inequalities for an optimal quadrature formula
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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.
- University of Split Croatia
corrected formula, numerical, Numerical integration, numerical integration, error inequalities, Inequalities for sums, series and integrals, optimal quadrature formula, corrected formula; error inequalities; numerical integration; optimal quadrature formula, Approximate quadratures
corrected formula, numerical, Numerical integration, numerical integration, error inequalities, Inequalities for sums, series and integrals, optimal quadrature formula, corrected formula; error inequalities; numerical integration; optimal quadrature formula, Approximate quadratures
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