New error bounds for the Simpson's quadrature rule and applications

DOI10.1016/j.camwa.2006.12.008zbMath1132.41341OpenAlexW2008021860MaRDI QIDQ2469915

Nenad Ujević

Publication date: 11 February 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.12.008

zbMATH Keywords

numerical integrationapplicationsSimpson's ruleimprovementsnew error bounds

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (7)

New inequalities of Simpson-like type involving \(n\) knots and the \(m\)th derivative ⋮ Some new estimates for the error of Simpson integration rule ⋮ Estimates of linear expressions through factorization ⋮ A note on some Ostrowski-like type inequalities ⋮ A new way to think about Ostrowski-like type inequalities ⋮ Approximate solutions of Volterra integral equations by an interpolation method based on ramp functions ⋮ A MAIN CLASS OF INTEGRAL INEQUALITIES WITH APPLICATIONS

Cites Work

• Improvement of some inequalities of Euler-Grüss type
• The unified treatment of trapezoid, Simpson, and Ostrowski type inequality for monotonic mappings and applications.
• Sharp inequalities of Simpson type and Ostrowski type
• On Simpson's inequality and applications
• Three point rules in numerical integration.
• A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
• An Inequality of Ostrowski Type and Its Applications for Simpson's Rule and Special Means
• Generalizations of some inequalities of Ostrowski-Grüss Type
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