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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 2, Pages 420–435 (Mi smj2647)  
This article is cited in 9 scientific papers (total in 9 papers)

On linear summability methods of fourier series in polynomials orthogonal in a discrete Sobolev space

B. P. Osilenker

Moscow State University of Civil Engineering, Moscow, Russia
Full-text PDF (334 kB) Citations (9)
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Abstract: Under study are the discrete Sobolev spaces with the inner product
\begin{align*} \int^1_{-1}f(x)g(x)w(x)\,dx&+A_1f(1)g(1)\\ &+B_1f(-1)g(-1)+A_2f'(1)g'(1)+B_2f'(-1)g'(-1)=\langle f,g\rangle. \end{align*}
Some results are presented on linear summation methods for Fourier series in orthonormal polynomials of discrete Sobolev spaces.
Keywords: discrete Sobolev space, orthogonal polynomial, Fourier series, linear summation method, Cesàro method, symmetric Gegenbauer–Sobolev polynomials.
Received: 14.02.2013
Revised: 07.07.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 2, Pages 339–351
DOI: https://doi.org/10.1134/S0037446615020135
Bibliographic databases:
Document Type: Article
UDC: 517.538.3
Language: Russian
Citation: B. P. Osilenker, “On linear summability methods of fourier series in polynomials orthogonal in a discrete Sobolev space”, Sibirsk. Mat. Zh., 56:2 (2015), 420–435; Siberian Math. J., 56:2 (2015), 339–351
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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