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

DOI10.1006/jath.1999.3423zbMath0955.42016OpenAlexW2063469702MaRDI QIDQ1971651

Detlef H. Mache, Doron S. Lubinsky

Publication date: 7 June 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3a94f69f5f8a2e9ca2112130e34065684ec4220e

zbMATH Keywords

Freud weightsErdös weights\((C,1)\) meansexponential weights on an interval

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 ⋮ Application of Mhaskar‐Prestin operators to the convergence of orthonormal expansions ⋮ Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights ⋮ \(L_p\) boundedness of \((C,1)\) means of orthonormal expansions for general exponential weights

Cites Work

• Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
• Exact bounds for orthogonal polynomials associated with exponential weights
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
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• Asymptotic for solutions of systems of smooth recurrence equations
• Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights
• On Markov-Bernstein-type inequalities and their applications
• Bounds for orthogonal polynomials for exponential weights
• The weighted \(L_ p\)-norms of orthonormal polynomials for Freud weights
• Weighted Lagrange and Hermite-Fejér interpolation on the real line
• Asymptotic Expansions of Ratios of Coefficients of Orthogonal Polynomials with Exponential Weights
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
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• Orthogonal expansions and the error of weighted polynomial approximation for erdös weights
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• Best Weighted Polynomial Approximation via Jacobi Expansions
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