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arXiv · 1704.01597

Fourier Series of Gegenbauer-Sobolev Polynomials

Óscar Ciaurri·Judit Mínguez
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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.

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Óscar Ciaurri, Judit Mínguez. 2017-04-05. Fourier Series of Gegenbauer-Sobolev Polynomials. https://doi.org/10.3842/sigma.2018.024

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