A note on \(L^1\)-convergence of Fourier series with Riesz mean

DOI10.1134/s000143462403009xzbMATH Open1543.42006MaRDI QIDQ6569609

M. Ö. Şakar, Hikmet Seyhan Özarslan

Publication date: 9 July 2024

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Dirichlet kernelFourier seriesRiesz meanFejér sum\(L^1\)-convergencequasi-monotone sequence

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

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• On L 1 -Convergence of Fourier Series with Quasi-Monotone Coefficients
• Sur la convergence des séries trigonométriques qui servent à représenter une fonction arbitraire entre des limites données.
• Quasi-Positive Sequences and Trigonometric Series^†
• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero

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