Some new error inequalities for a generalized quadrature rule of open type

DOI10.1016/J.CAMWA.2011.07.007zbMath1231.65058OpenAlexW2056908552MaRDI QIDQ660865

Wenjun Liu, Ya-Nan Sun, Qi-lin Zhang

Publication date: 5 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.07.007

zbMATH Keywords

quadrature rulesharp inequalitieserror inequalities

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (1)

Approximating the finite Hilbert transform via some companions of Ostrowski's inequalities

Cites Work

• New inequalities of Simpson-like type involving \(n\) knots and the \(m\)th derivative
• Error inequalities for a generalized trapezoid rule
• Some weighted integral inequalities with a parameter and applications
• A new way to think about Ostrowski-like type inequalities
• New inequalities of Ostrowski-like type involving \(n\) knots and the \(L^p\)-norm of the \(m\)-th derivative
• Some remarks of the trapesoid rule in numerical integration
• Harmonic polynomials and generalization of Ostrowski inequality with applications 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
• Several error inequalities for a quadrature formula with a parameter and applications
• An inequality of Simpson type
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