On a new characterization of finite jump discontinuities and its application to vertical fault detection

María Cruz López de Silanes, María Cruz Parra and Juan José Torrens

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 77, issue 2, 247-256

Abstract: The purpose of this paper is to give a new characterization of the finite jump discontinuities of multivariate functions, in terms of the divergence of sequences related to the gradients of discrete least-squares polynomial approximations of the function. We also consider how this result can be applied to vertical fault detection.

Keywords: Vertical fault; Explicit surfaces; Discontinuous functions; Finite jump discontinuity (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:77:y:2008:i:2:p:247-256

DOI: 10.1016/j.matcom.2007.08.008

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