Fourier series of Gegenbauer-Sobolev polynomials
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Universidad de La Rioja
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ISSN: 1815-0659
Year of publication: 2018
Volume: 14
Type: Article
More publications in: Symmetry, Integrability and Geometry: Methods and Applications
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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. © 2018, Institute of Mathematics. All rights reserved.