On summability of weighted Lagrange interpolation. III: Jacobi weights

DOI10.1023/B:AMHU.0000034361.65209.37zbMath1124.41004OpenAlexW4247914962MaRDI QIDQ558250

Péter Vértesi, László Szili

Publication date: 5 July 2005

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:amhu.0000034361.65209.37

zbMATH Keywords

uniform convergenceapproximation by polynomialsJacobi weightsmethod of summability weighted interpolationsummations

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

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The convergence rates of Shannon sampling learning algorithms ⋮ Uniform boundedness of \((C,1)\) means of Jacobi expansions in weighted sup norms. I: The main theorems and ideas ⋮ On weighted uniform Cesàro summability of Jacobi-Fourier series ⋮ Uniform approximation on \([-1,1\) via discrete de la Vallée Poussin means] ⋮ On the filtered polynomial interpolation at Chebyshev nodes ⋮ Estimates of the norm of the Mercer kernel matrices with discrete orthogonal transforms

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