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

DOI10.1080/09720502.2012.10700811zbMath1267.41029OpenAlexW1976139383MaRDI QIDQ4922212

Jian Zhu, Meifen Fu, Wen-Jun Liu

Publication date: 29 May 2013

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720502.2012.10700811

zbMATH Keywords

asymptotic expressionserror termsperturbed trapezoid ruleperturbed mid-point rule

Mathematics Subject Classification ID

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

Cites Work

• Asymptotic expressions for remainder terms of some quadrature rules
• Some weighted integral inequalities with a parameter and applications
• Error estimates for some composite corrected quadrature rules
• Improvement and further generalization of inequalities of Ostrowski-Grüss type
• NEW WEIGHTED OSTROWSKI-GRUSS-CEBYSEV TYPE INEQUALITIES
• OSTROWSKI TYPE INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS ON SEGMENTS IN LINEAR SPACES