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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 2, Pages 79–85
DOI: https://doi.org/10.26907/0021-3446-2021-2-79-85
(Mi ivm9650)
 

This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Formulas for approximate calculation of the Chebyshev coefficients

S. S. Kudaibergenov, Ye. Ye. Nurmoldin, N. Zh. Nauryzbayev, N. Temirgaliyev

L.N. Gumilyov Eurasian National University, 13 Kazhimukan str., Nur-Sultan, 010008 Republic of Kazakhstan
Full-text PDF (419 kB) Citations (1)
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Abstract: The approximate calculation of integrals is a common part of research in various fields of mathematics, primarily in the theory of approximations and computational mathematics. In turn, within the theory of numerical integration, distinctions take place depending on the features of the integrand, the scale of which is "Quadrature (cubature) formulas" and "Theory of oscillations". This article belongs to the second type of problems and consists in the approximate calculation of the Chebyshev coefficients.
Keywords: quadrature formulas, oscillatory integral, Chebyshev system, tensor product of functionals.
Received: 01.10.2020
Revised: 01.10.2020
Accepted: 01.10.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 2, Pages 69–74
DOI: https://doi.org/10.3103/S1066369X21020079
Bibliographic databases:
Document Type: Article
UDC: 519.644
Language: Russian
Citation: S. S. Kudaibergenov, Ye. Ye. Nurmoldin, N. Zh. Nauryzbayev, N. Temirgaliyev, “Formulas for approximate calculation of the Chebyshev coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 2, 79–85; Russian Math. (Iz. VUZ), 65:2 (2021), 69–74
Citation in format AMSBIB
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\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 2
\pages 79--85
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  • https://www.mathnet.ru/eng/ivm/y2021/i2/p79
  • This publication is cited in the following 1 articles:
    1. Galiya Taugynbayeva, Shapen Azhgaliyev, Aksaule Zhubanysheva, Nurlan Temirgaliyev, “Full C(N)D-study of computational capabilities of Lagrange polynomials”, Mathematics and Computers in Simulation, 227 (2025), 189  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:264
    Full-text PDF :84
    References:46
    First page:13
     
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