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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2010 Volume 88, Issue 1, Pages 116–147 (Mi mzm6607)
This article is cited in 18 papers

Mixed Series of Jacobi and Chebyshev Polynomials and Their Discretization

I. I. Sharapudinov, T. I. Sharapudinov

Daghestan Scientific Centre of the Russian Academy of Sciences

Abstract: 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.

Keywords: Jacobi polynomial, Chebyshev polynomial, Fourier–Jacobi series, weighted Sobolev space, analytic function, lebesgue inequality, ultraspherical polynomial.

UDC: 517.587

Received: 02.10.2008
Revised: 05.02.2010

DOI: 10.4213/mzm6607


 English version: Mathematical Notes, 2010, 88:1, 112–139

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© Steklov Math. Inst. of RAS, 2024