A resonance principle with rates in connection with pointwise estimates for the approximation by interpolation processes

DOI10.1080/01630569508816610zbMath0873.41003OpenAlexW2003979907MaRDI QIDQ4844885

R. J. Nessel, Lorens A. Imhof

Publication date: 27 August 1995

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816610

zbMATH Keywords

pointwise estimatesinterpolation processesbest possible

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items (5)

A sharp error estimate for numerical Fourier fransform of band-limited functions based on windowed samples ⋮ On sharpness of error bounds for multivariate neural network approximation ⋮ A sharp error bound in terms of an averaged modulus of smoothness for Fourier Lagrange coefficients ⋮ The sharpness of a pointwise error bound in connection with linear finite elements ⋮ On the divergence of trigonometric lacunary interpolation

Cites Work

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• Quantitative condensation of singularities for convolution processes of Fejér-type
• On the rate of convergence of a lacunary trigonometric interpolation process
• The sharpness of a pointwise error bound for the Fejér-Hermite interpolation process on sets of positive measure
• The approximation of continuous functions by positive linear operators
• On uniform boundedness principles and banach - steinhaus theorems with rates
• On the divergence of interpolation processes on sets having positive measure
• Borel—Cantelli type theorems for mixing sets
• On the convergence of Hermite-Fejér interpolation
• Trigonometric interpolation

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