Determination of the jumps of a bounded function by its Fourier series
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Publication:1385380
DOI10.1006/jath.1997.3125zbMath0902.42001OpenAlexW2030382489MaRDI QIDQ1385380
Publication date: 10 December 1998
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.1997.3125
generalized variationderivatives of the Fourier partial sumsjumps of a function of bounded variation
Related Items (27)
Approximation of the discontinuities of a function by its classical orthogonal polynomial Fourier coefficients ⋮ Determination of the jump of a function of generalized bounded variation from the derivatives of the partial sums of its Fourier series ⋮ An affirmative result of the open question on determining function jumps by spline wavelets ⋮ Determination of jumps for functions via derivative Gabor series ⋮ Detection of edges in spectral data III-refinement of the concentration method ⋮ 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 ⋮ Adaptive edge detectors for piecewise smooth data based on the minmod limiter ⋮ Gibbs phenomenon removal by adding Heaviside functions ⋮ Reduction of the Gibbs phenomenon for smooth functions with jumps by the \(\varepsilon \)-algorithm ⋮ Concentration factors for functions with harmonic bounded mean variation ⋮ Detecting derivative discontinuity locations in piecewise continuous functions from Fourier spectral data ⋮ Gibbs phenomenon for Fourier partial sums on \(\mathbb{Z}_p\) ⋮ On the jump behavior of distributions and logarithmic averages ⋮ On determination of jumps in terms of Abel-Poisson mean of Fourier series ⋮ Determination of jumps in terms of derivative convolution operators ⋮ Determining the locations and discontinuities in the derivatives of functions ⋮ 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 ⋮ Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of \(1/n\) ⋮ Approximating the jump discontinuities of a function by its Fourier-Jacobi coefficients ⋮ 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 ⋮ Determination of jumps of distributions by differentiated means ⋮ Detection of edges in spectral data ⋮ Determination of a jump by conjugate Fourier-Jacobi series ⋮ On the Convergence of the Quasi-Periodic Approximations on a Finite Interval
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