The Euler-Maclaurin formula for functions with singularities

DOI10.1007/BF02473975zbMath0883.40004OpenAlexW2159705930MaRDI QIDQ1366378

Birute Kryžienė

Publication date: 29 October 1997

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02473975

zbMATH Keywords

Euler-Maclaurin formula

Mathematics Subject Classification ID

Approximation to limiting values (summation of series, etc.) (40A25) Euler-Maclaurin formula in numerical analysis (65B15)

Cites Work

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• Asymptotic expansion of certain sums
• Asymptotic expansion of densities of the maxima of sums of random variables. Large deviations
• Extended Euler-Maclaurin summation formulas
• Asymptotic expansions for the distribution function of the maximum of a sum of independent identically distributed random quantities
• An Extension of the Euler-Maclaurin Summation Formula to Functions with a Branch Singularity
• A Further Extension of the Euler-Maclaurin Summation Formula
• Numerical Quadrature and Asymptotic Expansions