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  Volume 7, Issue 2, Article 55
Finding Discontinuities of Piecewise-smooth Functions

    Authors: Alexander G. Ramm,  
    Keywords: Inequalities, Stable differentiation, Noisy data, Discontinuities, Jumps, Signal processing, Edge detection.  
    Date Received: 30/01/06  
    Date Accepted: 22/02/06  
    Subject Codes:

Primary 65D35; 65D05.

    Editors: Sever S. Dragomir,  

Formulas for stable differentiation of piecewise-smooth functions are given. The data are noisy values of these functions. The locations of discontinuity points and the sizes of the jumps across these points are not assumed known, but found stably from the noisy data.

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