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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 7, Pages 60–62 (Mi ivm8722)  
This article is cited in 6 scientific papers (total in 6 papers)

Brief communications

Convergence of Fourier sums by polynomials orthogonal on arbitrary lattice

A. A. Nurmagomedov

Chair of Mathematical Disciplines in Economics, M. M. Dzhambulatov Dagestan State Agricultural Academy, Makhachkala, Russia
Full-text PDF (146 kB) Citations (6)
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Abstract: We study approximation properties of discrete Fourier sums of a function on the segment $[-1,1]$ on an orthonormal system of polynomials representing finite-difference analogs of classical Legendre polynomials. In particular, we find an order of the norm of discrete Fourier sum.
Keywords: polynomial, orthogonal system, lattice, weight, weight estimate, asymptotic formula, approximation, Fourier sums.
Presented by the member of Editorial Board: F. G. Avkhadiev
Received: 20.09.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 7, Pages 52–54
DOI: https://doi.org/10.3103/S1066369X12070080
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. A. Nurmagomedov, “Convergence of Fourier sums by polynomials orthogonal on arbitrary lattice”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 7, 60–62; Russian Math. (Iz. VUZ), 56:7 (2012), 52–54
Citation in format AMSBIB
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\paper Convergence of Fourier sums by polynomials orthogonal on arbitrary lattice
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\transl
\jour Russian Math. (Iz. VUZ)
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\issue 7
\pages 52--54
\crossref{https://doi.org/10.3103/S1066369X12070080}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866291136}
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    • This publication is cited in the following 6 articles:
    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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