New integrals involving a function associated with Euler-Maclaurin summation formula

被引：0

作者：

Frontczak, Robert ^{[1
]}

Kumari, Munesh ^{[2
]}

Prasad, Kalika ^{[2
]}

机构：

[1] Landesbank Baden Wurttemberg LBBW, Stuttgart, Germany

[2] Cent Univ Jharkhand, Dept Math, Ranchi, India

来源：

CONTRIBUTIONS TO MATHEMATICS | 2023年 / 7卷

关键词：

Bernoulli polynomial; Euler-Maclaurin summation formula; integrals; Riemann zeta function;

D O I：

10.47443/cm.2022.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors establish novel integrals involving a certain periodic function which is associated with the Euler-Maclaurin summation formula.

引用

页码：11 / 14

页数：4

共 12 条

[1] Integrals involving a function associated with the Euler-Maclaurin summation formula
Choi, J
Srivastava, HM
Zhang, NY
APPLIED MATHEMATICS AND COMPUTATION, 1998, 93 (2-3) : 101 - 116
[2] Resurgence of the Euler-MacLaurin summation formula
Costin, Ovidiu
Garoufalidis, Stavros
ANNALES DE L INSTITUT FOURIER, 2008, 58 (03) : 893 - 914
[3] A Hilbert inequality and an Euler-Maclaurin summation formula
Krnic, Mario
Pecaric, Josip
ANZIAM JOURNAL, 2007, 48 : 419 - 431
[4] Euler-MacLaurin Summation Formula on Polytopes and Expansions in Multivariate Bernoulli Polynomials
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Colzani, L.
Gariboldi, B.
Gigante, G.
Monguzzi, A.
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2023, 29 (03)
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[6] Alternatives to the Euler-Maclaurin formula for calculating infinite sums
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[7] Alternatives to the Euler-Maclaurin formula for calculating infinite sums
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MATHEMATICAL NOTES, 2010, 88 (3-4) : 524 - 529
[8] Asymptotic Behaviors of Intermediate Points in the Remainder of the Euler-Maclaurin Formula
Xu, Aimin
Cen, Zhongdi
ABSTRACT AND APPLIED ANALYSIS, 2010,
[9] The Summation Formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their Interconnections with the Approximate Sampling Formula of Signal Analysis
Butzer, P. L.
Ferreira, P. J. S. G.
Schmeisser, G.
Stens, R. L.
RESULTS IN MATHEMATICS, 2011, 59 (3-4) : 359 - 400
[10] Integrals involving log and polylogarithms associated with Euler sums
Sofo, Anthony
Choi, Junesang
JOURNAL OF ANALYSIS, 2024, 32 (06): : 3369 - 3400

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