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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2022, Volume 40, Number 3, Pages 211–226
DOI: https://doi.org/10.26117/2079-6641-2022-40-3-211-226
(Mi vkam565)
 

This article is cited in 5 scientific papers (total in 5 papers)

INFORMATION AND COMPUTATION TECHNOLOGIES

Optimal quadrature formulas in the space $\widetilde{W_2}^{(m,m-1)}$of periodic functions

A. R. Hayotova, U. N. Khayrievb

a National University of Uzbekistan named after Mirzo Ulugbek
b V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences
Full-text PDF (653 kB) Citations (5)
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Abstract: This paper is devoted to the process of finding the upper bound for the absolute error of the optimal quadrature formula in the space $\widetilde{W_2}^{(m,m-1)}$of real-valued, periodic functions. For this the extremal function of the quadrature formula is used. In addition, it is shown that the norm of the error functional for the optimal quadrature formula constructed in the space $\widetilde{W_2}^{(m,m-1)}$ is less than the value of the norm of the error functional for the optimal quadrature formula in the Sobolev space $\widetilde{L_2}^{(m)}$.
Keywords: optimal quadrature formula, optimal coefficients, error of quadrature formula, the Hilbert space, the error functional, Fourier transform.
Bibliographic databases:
Document Type: Article
UDC: 519.644
MSC: Primary 65D30; Secondary 65D32
Language: English
Citation: A. R. Hayotov, U. N. Khayriev, “Optimal quadrature formulas in the space $\widetilde{W_2}^{(m,m-1)}$of periodic functions”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022), 211–226
Citation in format AMSBIB
\Bibitem{HayKha22}
\by A.~R.~Hayotov, U.~N.~Khayriev
\paper Optimal quadrature formulas in the space $\widetilde{W_2}^{(m,m-1)}$of periodic functions
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2022
\vol 40
\issue 3
\pages 211--226
\mathnet{http://mi.mathnet.ru/vkam565}
\crossref{https://doi.org/10.26117/2079-6641-2022-40-3-211-226}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4539617}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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