Geodesic
Alternatives to the Euler--Maclaurin Formula for Calculating Infinite Sums
Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 543-548

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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, Riemann zeta function, Simpson's formula.
Mots-clés : quadrature formula, Stieltjes constant 
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     author = {Yu. V. Matiyasevich},
     title = {Alternatives to the {Euler--Maclaurin} {Formula} for {Calculating} {Infinite} {Sums}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {543--548},
     publisher = {mathdoc},
     volume = {88},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a5/}
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Yu. V. Matiyasevich. Alternatives to the Euler--Maclaurin Formula for Calculating Infinite Sums. Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 543-548. http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a5/