On the absolute (\(C,\alpha\)) convergence for functions of bounded variation.

DOI10.1016/S0021-9045(03)00102-3zbMath1040.42004OpenAlexW2006311047MaRDI QIDQ1404942

Kunyang Wang, Dan Yu

Publication date: 25 August 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9045(03)00102-3

zbMATH Keywords

total variationFourier seriesdegree of approximationabsolute Cesàro summabilityperiodic function of bounded variation

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability and absolute summability of Fourier and trigonometric series (42A24) Functions of bounded variation, generalizations (26A45)

Related Items

On the convergence of absolute summability for functions of bounded variation in two variables

Cites Work

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• Rate of convergence for the absolutely \((C,a)\) summable Fourier series of functions of bounded variation