Error estimates for some composite corrected quadrature rules

DOI10.1016/j.aml.2008.08.016zbMath1173.65022OpenAlexW2020436514MaRDI QIDQ1021822

Zheng Liu

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.08.016

zbMATH Keywords

trapezoidal ruleSimpson's rulemidpoint rulecomposite quadraturescorrected quadratures

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

On corrected quadrature rules and optimal error bounds ⋮ Higher order corrected trapezoidal rules in Lebesgue and Alexiewicz spaces ⋮ Asymptotic expressions for error terms of the perturbed mid-point and trapezoid rules

Cites Work

• On Euler trapezoid formulae
• A note to Ujević's generalization of Ostrowski's inequality
• General Euler -- Ostrowski formulae and applications to quadratures
• On Euler midpoint formulae
• Generalisation of a corrected Simpson's formula
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