Determination of the jump of a function of generalized bounded variation from the derivatives of the partial sums of its Fourier series

DOI10.1134/S0001434616010053zbMath1341.42003MaRDI QIDQ295959

A. A. Kel'zon

Publication date: 14 June 2016

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

zbMATH Keywords

jumpsFourier seriesperiodic functions\(\Phi\)-bounded variationharmonic bounded variation

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Functions of bounded variation, generalizations (26A45)

Related Items

Determining the jump of a function of \(m\)-harmonic bounded variation by its Fourier series

Cites Work

• On the determination of the jump of a function by its Fourier series
• Determination of the jumps of a bounded function by its Fourier series
• Functions of Φ-Bounded Variation and Riemann-Stieltjes Integration
• On convergence of Fourier series of functions of generalized bounded variation
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