Approximation of function with finite number of discontinuities by noised data

DOI10.1515/JIIP.2002.10.2.113zbMath1019.47044OpenAlexW1997701577MaRDI QIDQ4542244

T. V. Antonova

Publication date: 16 September 2003

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2002.10.2.113

zbMATH Keywords

number of discontinuity pointsdiscontinuities of first ordervalues of jumps

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Nonlinear ill-posed problems (47J06) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (6)

Approximation of discontinuity lines for a noisy function of two variables with countably many singularities ⋮ Regularized spectral analysis and solution of equations of first genus ⋮ Regularizing algorithms for localization of breakpoints of noisy functions ⋮ On the localization of discontinuities of the first kind for a function of bounded variation ⋮ Problem on separation of singularities ⋮ A method for the localization of singularities of a solution to a convolution-type equation of the first kind with a step kernel

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