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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 024, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.024 (Mi sigma1323) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Fourier Series of Gegenbauer–Sobolev Polynomials

Óscar Ciaurri, Judit Mínguez

Departamento de Matemáticas y Computación, Universidad de La Rioja, 26006 Logroño, Spain
Full-text PDF (313 kB) Citations (5)
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DOI: https://doi.org/10.3842/SIGMA.2018.024
Abstract: We study the partial sum operator for a Sobolev-type inner product related to the classical Gegenbauer polynomials. A complete characterization of the partial sum operator in an appropriate Sobolev space is given. Moreover, we analyze the convergence of the partial sum operators.
Keywords: Sobolev-type inner product; Sobolev polynomials; Gegenbauer polynomials; partial sum operator.
Funding agency Grant number
Ministerio de Economía y Competitividad de España MTM2015-65888-C04-4-P
The authors were supported by grant MTM2015-65888-C04-4-P from Spanish Government.
Received: January 19, 2018; in final form March 13, 2018; Published online March 17, 2018
Bibliographic databases:
Document Type: Article
MSC: 42A20; 33C47
Language: English
Citation: Óscar Ciaurri, Judit Mínguez, “Fourier Series of Gegenbauer–Sobolev Polynomials”, SIGMA, 14 (2018), 024, 11 pp.
Citation in format AMSBIB
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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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    		Symmetry, Integrability and Geometry: Methods and Applications
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