Fourier Series of Gegenbauer-Sobolev Polynomials
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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.
- University of La Rioja Spain
partial sum operator, Sobolev-type inner product, Mathematics - Functional Analysis, Gegenbauer polynomials, Sobolev polynomials, Convergence and absolute convergence of Fourier and trigonometric series, Partial sum operator, Other special orthogonal polynomials and functions, 42A20 (Primary), 33C47 (Secondary), Sobolev type inner product Sobolev polynomials
partial sum operator, Sobolev-type inner product, Mathematics - Functional Analysis, Gegenbauer polynomials, Sobolev polynomials, Convergence and absolute convergence of Fourier and trigonometric series, Partial sum operator, Other special orthogonal polynomials and functions, 42A20 (Primary), 33C47 (Secondary), Sobolev type inner product Sobolev polynomials
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