Uniform boundedness of \((C,1)\) means of Jacobi expansions in weighted sup norms. I: The main theorems and ideas

DOI10.1007/S10474-007-6207-2zbMath1164.42018OpenAlexW2067245382MaRDI QIDQ950348

Michael Felten

Publication date: 22 October 2008

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

Full work available at URL: https://doi.org/10.1007/s10474-007-6207-2

zbMATH Keywords

orthogonal polynomialsuniform boundednessweighted polynomial approximationCesáro meansJacobi expansions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10)

Related Items (2)

Uniform boundedness of \((C,1)\) means of Jacobi expansions in weighted sup norms. II: Some necessary estimations ⋮ On weighted uniform Cesàro summability of Jacobi-Fourier series

Cites Work

• Unnamed Item
• On summability of weighted Lagrange interpolation. III: Jacobi weights
• Weighted error estimates for approximation by Cesàro means of Fourier-Jacobi series in spaces of locally continuous functions
• Uniform boundedness of \((C,1)\) means of Jacobi expansions in weighted sup norms. II: Some necessary estimations
• Best approximation and \(K\)-functionals
• Weak type estimates for Cesàro sums of Jacobi polynomial series
• Best Weighted Polynomial Approximation via Jacobi Expansions
• A $K$-functional and the rate of convergence of some linear polynomial operators
• Mean Summability for Ultraspherical Polynomials.

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