Mixed series in ultraspherical polynomials and their approximation properties

DOI10.1070/SM2003V194N03ABEH000723zbMath1071.42017OpenAlexW2007548969MaRDI QIDQ4658267

I. I. Sharapudinov

Publication date: 16 March 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2003v194n03abeh000723

zbMATH Keywords

approximationJacobi polynomialsRodrigues formulasimultaneous approximationultraspherical polynomialsorthogonal system

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (9)

Approximation properties of Fourier series of Sobolev orthogonal polynomials with Jacobi weight and discrete masses ⋮ Unnamed Item ⋮ Sobolev orthogonal polynomials associated with Chebyshev polynomials of the first kind and the Cauchy problem for ordinary differential equations ⋮ Sobolev Orthogonal Polynomials Generated by Meixner Polynomials ⋮ Mixed series of Jacobi and Chebyshev polynomials and their discretization ⋮ Sobolev orthogonal polynomials generated by Jacobi and Legendre polynomials, and special series with the sticking property for their partial sums ⋮ Sobolev-orthogonal systems of functions and the Cauchy problem for ODEs ⋮ Mixed series of Chebyshev polynomials orthogonal on a uniform grid ⋮ Sobolev-orthogonal systems of functions and some of their applications

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