On the Gibbs–Wilbraham Phenomenon for Sampling and Interpolatory Series

DOI10.1017/S0013091519000166zbMath1428.41003arXiv1903.06698OpenAlexW2962403015MaRDI QIDQ5236950

Keaton Hamm

Publication date: 16 October 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06698

zbMATH Keywords

Gibbs phenomenoncardinal functions

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Interpolation in approximation theory (41A05)

Related Items

Gibbs-Wilbraham phenomenon on Lagrange interpolation based on analytic weights on the unit circle

Cites Work

• Unnamed Item
• Cardinal interpolation with general multiquadrics
• Approximation of continuous and discontinuous functions by generalized sampling series
• The Gibbs- Wilbraham phenomenon: An episode in Fourier analysis
• A Gibbs phenomenon for spline functions
• Gibbs' phenomenon for sampling series and what to do about it
• Asymptotic behavior of Gibbs functions for \(M\)-band wavelet expansions
• Cardinal interpolation with general multiquadrics: convergence rates
• Gibbs-Wilbraham splines
• Gibbs phenomenon for wavelets
• Gibbs phenomenon on sampling series based on Shannon's and Meyer's wavelet analysis
• On the convergence of regular families of cardinal interpolators
• On shifted cardinal interpolation by Gaussians and multiquadrics
• Multivariate cardinal interpolation with radial-basis functions