On Gibbs-Wilbraham phenomenon and the arclength of Fourier series

DOI10.1007/S00041-010-9135-4zbMath1225.42002OpenAlexW2035673032MaRDI QIDQ636811

Shigehiko Kuratsubo, Kazuki Dempo

Publication date: 30 August 2011

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-010-9135-4

zbMATH Keywords

Fourier seriesarc lengthLebesgue constantGibbs-Wilbraham phenomenonpiecewise \(C ^{1}\) function

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24) Harmonic analysis in one variable (42A99)

Cites Work

• Gibbs' phenomenon and arclength
• Unnamed Item

This page was built for publication: On Gibbs-Wilbraham phenomenon and the arclength of Fourier series