R. M. Trigub, “A generalization of the Euler–Maclaurin formula”, Mat. Zametki, 61:2 (1997), 312–316; Math. Notes, 61:2 (1997), 253

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Matematicheskie Zametki, 1997, Volume 61, Issue 2, Pages 312–316
DOI: https://doi.org/10.4213/mzm1504 (Mi mzm1504)

This article is cited in 12 scientific papers (total in 12 papers)

Brief Communications

A generalization of the Euler–Maclaurin formula

R. M. Trigub

Donetsk National University

Full-text PDF (243 kB) Citations (12)

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DOI: https://doi.org/10.4213/mzm1504

Received: 08.05.1996

English version:
Mathematical Notes, 1997, Volume 61, Issue 2, Pages 253–257
DOI: https://doi.org/10.1007/BF02355737

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: R. M. Trigub, “A generalization of the Euler–Maclaurin formula”, Mat. Zametki, 61:2 (1997), 312–316; Math. Notes, 61:2 (1997), 253–257

Citation in format AMSBIB

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\jour Math. Notes

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Linking options:

https://www.mathnet.ru/eng/mzm1504

https://doi.org/10.4213/mzm1504

https://www.mathnet.ru/eng/mzm/v61/i2/p312

This publication is cited in the following 12 articles:

I. Albrecht, J. Herrmann, A. Mariani, U.-J. Wiese, V. Wyss, “Bouncing wave packets, Ehrenfest theorem, and uncertainty relation based upon a new concept for the momentum of a particle in a box”, Annals of Physics, 452 (2023), 169289
Guo J., Liu Yu., “A Modified Euler-Maclaurin Formula in 1D and 2D With Applications in Statistical Physics”, Commun. Theor. Phys., 73:7 (2021), 075002
Elijah Liflyand, Pathways in Mathematics, Harmonic Analysis on the Real Line, 2021, 101
R. M. Trigub, “Asymptotics of approximation of continuous periodic functions by linear means of their Fourier series”, Izv. Math., 84:3 (2020), 608–624
Milovanovic G.V., “Summation Formulas of Euler-Maclaurin and Abel-Plana: Old and New Results and Applications”, Progress in Approximation Theory and Applicable Complex Analysis: in Memory of Q.i. Rahman, Springer Optimization and Its Applications, 117, ed. Govil N. Mohapatra R. Qazi M. Schmeisser G., Springer, 2017, 429–461
Xin Li, Alexander V. Tovstolis, “Poisson Summation Formula in Hardy Spaces $H^p(T_\Gamma )$ H p ( T Γ ) , $p\in (0,1]$ p ∈ ( 0 , 1 ]”, Comput. Methods Funct. Theory, 16:4 (2016), 689
E. Liflyand, U. Stadtmüller, “Poisson summation for functions of bounded variation on ℝd”, Acta Sci. Math., 80:3-4 (2014), 491
Liflyand E., Stadmueller U., “A Multidimensional Euler-Maclaurin Formula and an Application”, Complex Analysis and Dynamical Systems V, Contemporary Mathematics, 591, eds. Agranovsky M., BenArtzi M., Galloway G., Karp L., Mazya V., Reich S., Shoikhet D., Weinstein G., Zal, Amer Mathematical Soc, 2013, 183–194
Elijah Liflyand, “Fourier transform versus Hilbert transform”, J Math Sci, 187:1 (2012), 49
Liflyand E., Stadtmueller U., Trigub R., “An Interplay of Multidimensional Variations in Fourier Analysis”, J. Fourier Anal. Appl., 17:2 (2011), 226–239
Liflyand E., Tikhonov S., “The Fourier Transforms of General Monotone Functions”, Analysis and Mathematical Physics, Trends in Mathematics, eds. Gustafsson B., Vasilev A., Birkhauser Boston, 2009, 377–395
Karshon, Y, “Euler-Maclaurin with remainder for a simple integral polytope”, Duke Mathematical Journal, 130:3 (2005), 401

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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