On convergence of negative order cesaro means of the Fourier-Walsh series in \(L_p(p > 1)\) metrics

DOI10.3103/S1068362312030041zbMath1302.40008MaRDI QIDQ471282

Levon N. Galoyan

Publication date: 14 November 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

slowly oscillating functionnegative order cesaro meansregular method of summationunbounded divergence

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (4)

On \(L_p\)-convergence of Cesàro means for Fourier series with monotonic coefficients ⋮ Behavior of the Fourier-Walsh coefficients of a corrected function ⋮ On existence of a universal function for \(L^p[0, 1\) with \(p\in(0, 1)\)] ⋮ Application of negative order Cesàro summability methods to Fourier–Walsh series of functions from $L^{\infty }[0, 1$]

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cesàro summability of Walsh-Fourier series
• \((C,\alpha)\) summability of Walsh-Fourier series
• Cesàro summability of one- and two-dimensional Walsh-Fourier series
• A Maximal Inequality for H 1 -Functions on a Generalized Walsh-Paley Group
• CESARO SUMMABILITY OF WALSH-FOURIER SERIES

This page was built for publication: On convergence of negative order cesaro means of the Fourier-Walsh series in \(L_p(p > 1)\) metrics