Geodesic
Fourier Series of Gegenbauer–Sobolev Polynomials
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {\'Oscar Ciaurri and Judit M{\'\i}nguez},
     title = {Fourier {Series} of {Gegenbauer{\textendash}Sobolev} {Polynomials}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2018},
     volume = {14},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a23/}
}
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Óscar Ciaurri; Judit Mínguez. Fourier Series of Gegenbauer–Sobolev Polynomials. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a23/

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