Mixed Series of Jacobi and Chebyshev Polynomials and Their Discretization
Matematičeskie zametki, Tome 88 (2010) no. 1, pp. 116-147

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This paper is devoted to the study of approximation properties of mixed series of Jacobi polynomials on weighted Sobolev spaces and of discretized mixed series of Chebyshev polynomials of the first kind from classes of analytic functions.
Mots-clés : Jacobi polynomial, Fourier–Jacobi series
Keywords: Chebyshev polynomial, weighted Sobolev space, analytic function, lebesgue inequality, ultraspherical polynomial.
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I. I. Sharapudinov; T. I. Sharapudinov. Mixed Series of Jacobi and Chebyshev Polynomials and Their Discretization. Matematičeskie zametki, Tome 88 (2010) no. 1, pp. 116-147. http://geodesic.mathdoc.fr/item/MZM_2010_88_1_a9/