On determination of jumps in terms of the Abel-Poisson mean of Fourier series. II

DOI10.1007/s10476-009-0305-zzbMath1212.42008OpenAlexW1859083613MaRDI QIDQ987551

Ping Zhou, Dansheng Yu, Song Ping Zhou

Publication date: 13 August 2010

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-009-0305-z

zbMATH Keywords

jumpsAbel-Poisson mean

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

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• On determination of jumps in terms of Abel-Poisson mean of Fourier series
• A Fejér type theorem to determine jumps in terms of the Abel-Poisson mean of double Fourier series
• On Definitions of Bounded Variation for Functions of Two Variables
• Ferenc Lukács type theorems in terms of the Abel-Poisson mean of conjugate series