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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 6 scientific papers (total in 6 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 (6)
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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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\by \'Oscar~Ciaurri, Judit~M{\'\i}nguez
\paper Fourier Series of Gegenbauer--Sobolev Polynomials
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  • https://www.mathnet.ru/eng/sigma1323
  • https://www.mathnet.ru/eng/sigma/v14/p24
    • This publication is cited in the following 6 articles:
    1. R. M. Gadzhimirzaev, “Estimates for the Convergence Rate of a Fourier Series in Laguerre–Sobolev Polynomials”, Sib Math J, 65:4 (2024), 751  crossref
    2. M. G. Magomed-Kasumov, “Weighted Sobolev Orthogonal Systems with Two Discrete Points and Fourier Series with Respect to Them”, Russ Math., 68:11 (2024), 29  crossref
    3. M. G. Magomed-Kasumov, “The uniform convergence of Fourier series in a system of polynomials orthogonal in the sense of Sobolev and associated to Jacobi polynomials”, Siberian Math. J., 64:2 (2023), 338–346  mathnet  mathnet  crossref  crossref
    4. B. P. Osilenker, “On multipliers for Fourier series in Sobolev orthogonal polynomials”, Sb. Math., 213:8 (2022), 1058–1095  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. O. Ciaurri, J. Minguez Ceniceros, “Fourier series for coherent pairs of Jacobi measures”, Integral Transform. Spec. Funct., 32:5-8, SI (2021), 437–457  crossref  mathscinet  isi  scopus
    6. O. Ciaurri, J. Minguez Ceniceros, “Fourier series of Jacobi-Sobolev polynomials”, Integral Transform. Spec. Funct., 30:4 (2019), 334–346  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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