Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula

DOI10.1155/2010/134392zbMath1207.65003OpenAlexW2024284355WikidataQ58649742 ScholiaQ58649742MaRDI QIDQ624463

Zhongdi Cen, Aimin Xu

Publication date: 9 February 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222713

zbMATH Keywords

asymptotic expansionremaindercomposite trapezoidal ruleEuler-Maclaurin formula

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximate quadratures (41A55) Euler-Maclaurin formula in numerical analysis (65B15) Remainders in approximation formulas (41A80)

Related Items (1)

Asymptotic solutions of singular perturbed problems with an instable spectrum of the limiting operator

Cites Work

• Unnamed Item
• A generalization of the Euler-Maclaurin summation formula: an application to numerical computation of the Fermi-Dirac integrals
• A circular interpretation of the Euler-Maclaurin formula.
• Asymptotic behavior of intermediate points in the differential mean value theorem of divided differences with repetitions
• The differential mean value of divided differences
• Corrected Euler-Maclaurin's formulae
• Limit properties of differential mean values
• A generalized Euler-Maclaurin formula on triangles
• A Physically Motivated Further Note on the Mean Value Theorem for Integrals
• Asymptotic behavior of intermediate points in certain mean value theorems
• On the Mean Value Theorem for Integrals
• A Note on the Mean Value Theorem for Integrals
• On the Lagrange Remainder of the Taylor Formula
• Euler-Maclaurin formulae

This page was built for publication: Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula