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A discrete analogue of Euler's summation formula

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Publication:1810151
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DOI10.1023/A:1015833231580zbMath1025.65003OpenAlexW151624202MaRDI QIDQ1810151

Alexey Ustinov

Publication date: 15 June 2003

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

Full work available at URL: https://doi.org/10.1023/a:1015833231580


zbMATH Keywords

finite differencesFourier seriesBernoulli polynomialsEuler-MacLaurin formula


Mathematics Subject Classification ID

Euler-Maclaurin formula in numerical analysis (65B15)


Related Items (7)

The Euler-Maclaurin Formula in the Problem of Summation over Lattice Points of a Simplex ⋮ On some properties of Korobov polynomials ⋮ Multidimensional analogues of the Euler-Maclaurin summation formula and the Borel transform of power series ⋮ Unnamed Item ⋮ NUMBER-THEORETIC METHOD IN APPROXIMATE ANALYSIS ⋮ Unnamed Item ⋮ The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice Points




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