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Matematicheskie Zametki, 2010, Volume 88, Issue 4, Pages 543–548
DOI: https://doi.org/10.4213/mzm8689 (Mi mzm8689) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Alternatives to the Euler–Maclaurin Formula for Calculating Infinite Sums

Yu. V. Matiyasevich

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (426 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm8689
Abstract: We propose a new class of formulas, which, just as the Euler–Maclaurin formula, can be used to calculate the approximate value of an infinite sum by approximating the corresponding integral.
Keywords: Euler–Maclaurin formula, Bernoulli number, quadrature formula, Stieltjes constant, Riemann zeta function, Simpson's formula.
Received: 07.12.2009
Revised: 07.07.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 4, Pages 524–529
DOI: https://doi.org/10.1134/S0001434610090245
Bibliographic databases:
Document Type: Article
UDC: 519.65+519.644.2
Language: Russian
Citation: Yu. V. Matiyasevich, “Alternatives to the Euler–Maclaurin Formula for Calculating Infinite Sums”, Mat. Zametki, 88:4 (2010), 543–548; Math. Notes, 88:4 (2010), 524–529
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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