Determination of the jump of a function of bounded \(p\)-variation by its Fourier series

DOI10.1007/BF01094388zbMath0259.42007OpenAlexW2334549304MaRDI QIDQ2560397

Boris I. Golubov

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1007/bf01094388

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items

An affirmative result of the open question on determining function jumps by spline wavelets ⋮ Determination of jumps for functions via derivative Gabor series ⋮ Determination of the jumps of a bounded function by its Fourier series ⋮ Determining the jump of a function of \(m\)-harmonic bounded variation by its Fourier series ⋮ Applications of conjugate operators to determination of jumps for functions ⋮ Concentration factors for functions with harmonic bounded mean variation ⋮ On determination of jumps in terms of Abel-Poisson mean of Fourier series ⋮ Determination of jumps in terms of derivative convolution operators ⋮ Approximation of the singularities of a bounded function by the partial sums of its differentiated Fourier series ⋮ Spectral Reconstruction of Piecewise Smooth Functions from Their Discrete Data ⋮ Determination of jumps via advanced concentration factors ⋮ Detecting the singularities of a function of \(V_p\) class by its integrated Fourier series ⋮ Determination of jumps for functions based on Malvar-Coifman-Meyer conjugate wavelets ⋮ Detection of edges in spectral data ⋮ Determination of a jump by conjugate Fourier-Jacobi series

Cites Work

• Unnamed Item
• Continuous functions of bounded p-variation
• An inequality of the Hölder type, connected with Stieltjes integration
• On multipliers preserving convergence of trigonometric series almost everywhere