Weighted error estimates for approximation by Cesàro means of Fourier-Jacobi series in spaces of locally continuous functions

DOI10.1007/S10476-008-0106-9zbMath1174.42035OpenAlexW1503086672MaRDI QIDQ949890

József Szabados

Publication date: 21 October 2008

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-008-0106-9

zbMATH Keywords

error estimatesCesaro meansFourier-Jacobi serieslocally continuous functions

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

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

Cites Work

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• K-functionals and weighted moduli of smoothness
• Cesàro summability of lagrange interpolation on Jacobi roots
• Weak type estimates for Cesàro sums of Jacobi polynomial series
• Best Weighted Polynomial Approximation via Jacobi Expansions

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