A sharp estimate for the Peano error representation

DOI10.1016/J.AMC.2014.12.017zbMath1338.65063OpenAlexW1991786995MaRDI QIDQ298661

Mircea Ivan, Ioan Gavrea

Publication date: 21 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.017

zbMATH Keywords

numerical integrationlinear functionalserror bounds for quadrature formulasGrüss type inequalityOstrowski type inequalityPeano error representation

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical integration (65D30)

Cites Work

• Unnamed Item
• Improvement of some inequalities of Euler-Grüss type
• A note on some Ostrowski-like type inequalities
• On some Ostrowski-like type inequalities involving \(n\) knots
• A new way to think about Ostrowski-like type inequalities
• An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
• Improvement and further generalization of inequalities of Ostrowski-Grüss type
• Generalized Ostrowski-Grüss-type inequalities
• Remarks on Ostrowski-like inequalities
• A representation of the Peano kernel for some quadrature rules and applications
• Sufficient Conditions for Peano’s Kernel to Be of One Sign
• Improvement of some Ostrowski-Grüss type inequalities

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