Asymptotic expressions for remainder terms of some quadrature rules

DOI10.2478/S11533-008-0050-8zbMath1155.41009OpenAlexW2048243313MaRDI QIDQ960691

Nataša Bilić, Nenad Ujević

Publication date: 5 January 2009

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-008-0050-8

zbMATH Keywords

asymptotic expansionsremainder termsmid-pointtrapezoid and Simpson's rules

Mathematics Subject Classification ID

Approximate quadratures (41A55) Remainders in approximation formulas (41A80)

Related Items (1)

Asymptotic expressions for error terms of the perturbed mid-point and trapezoid rules

Cites Work

• The unified treatment of trapezoid, Simpson, and Ostrowski type inequality for monotonic mappings and applications.
• A generalization of Ostrowski's inequality and applications in numerical integration.
• 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
• Generalizations of some inequalities of Ostrowski-Grüss Type
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