\(L_p\) boundedness of \((C,1)\) means of orthonormal expansions for general exponential weights

DOI10.1016/S0377-0427(01)00590-8zbMath1020.42014MaRDI QIDQ1612414

H. P. Mashele, Doron S. Lubinsky

Publication date: 22 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cesàro meansFourier series with respect to orthogonal polynomialsgeneral exponential weights

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 (5)

The de la Vallée Poussin mean and polynomial approximation for exponential weight ⋮ A tribute to Géza Freud ⋮ Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights ⋮ Trigonometric approximation of periodic functions belonging to \(\mathrm{Lip}(\omega(t), p)\)-class ⋮ Approximation of conjugate of functions belonging to weighted Lipschitz class \(W(L^{p},\xi(t))\) by Hausdorff means of conjugate Fourier series

Cites Work

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• Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• On Markov-Bernstein-type inequalities and their applications
• Bounds for orthogonal polynomials for exponential weights
• Weighted Lagrange and Hermite-Fejér interpolation on the real line
• Fast decreasing polynomials
• \((C,1)\) means of orthonormal expansions for exponential weights
• Orthogonal polynomials

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