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Displaying 1 – 20 of 23

A comparison of three high-precision quadrature schemes.

Bailey, David H., Jeyabalan, Karthik, Li, Xiaoye S. (2005)

Experimental Mathematics

A general $L_{2}$ inequality of Grüss type.

Ren, Hongmin, Yang, Shijun (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

An accurate approximation of zeta-generalized-Euler-constant functions

Vito Lampret (2010)

Open Mathematics

Zeta-generalized-Euler-constant functions, $γ (s) : = \sum_{k = 1}^{\infty} (\frac{1}{k^{s}} - \int_{k}^{k + 1} \frac{d x}{x^{s}})$ and $\tilde{γ} (s) : = \sum_{k = 1}^{\infty} {(- 1)}^{k + 1} (\frac{1}{k^{s}} - \int_{k}^{k + 1} \frac{d x}{x^{s}})$ defined on the closed interval [0, ∞), where γ(1) is the Euler-Mascheroni constant and $\tilde{γ}$ (1) = ln $\frac{4}{π}$ , are studied and estimated with high accuracy.

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

Xu, Aimin, Cen, Zhongdi (2010)

Abstract and Applied Analysis

Corrigendum to the paper "Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory"

Bruce Berndt, Lowell Schoenfeld (1980)

Acta Arithmetica

Darstellung und Entwicklung des Restgliedes der Gregoriyschen Quadraturformel mit Hilfe von Spline-Funktionen.

Erich Martensen (1973)

Numerische Mathematik

Encadrement de la fonction sommatoire des inverses des termes d'une progression arithmétique

Marc Deléglise (1996)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Estimating the sequence of real binomial coefficients.

Lampret, Vito (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Iterationsverfahren und allgemeine Euler-Verfahren.

Wilhelm Niethammer (1967)

Mathematische Zeitschrift

Numerical Calculation of Incomplete Gamma Functions by the Trapezoidal Rule.

Giampietro Allasia, Renata Besenghi (1986/1987)

Numerische Mathematik

Numerical Integration by Means of Adapted Euler Summation Formulas.

W. Freeden, J. Fleck (1987)

Numerische Mathematik

O Eulerově vzorci, podle něhož možná konvergentní řady proměniti v rychleji konvergentní

František Josef Studnička (1872)

Časopis pro pěstování mathematiky a fysiky

On a Generalization of the Richardson Extrapolation Process.

Avram Sidi (1990)

Numerische Mathematik

On Appel-type quadrature rules.

Belingeri, C., Germano, B. (2002)

Georgian Mathematical Journal

Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory

Bruce Berndt, Lowell Schoenfeld (1975)

Acta Arithmetica

Section of Euler summability method.

Ţincu, Ioan (2004)

General Mathematics

Series like Taylor's series.

John Boris Miller (1983)

Aequationes mathematicae

Summation of series by some substitutions

Z. Cylkowski (1988)

Applicationes Mathematicae

Sur les développements en série des fonctions d'une seule variable.

Darboux, G. (1876)

Journal de Mathématiques Pures et Appliquées

Sur les termes complémentaires de la formule sommatoire d'Euler et de celle de Stirling

N. Sonin (1889)

Annales scientifiques de l'École Normale Supérieure

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