Professional paper

A choice of norm in discrete approximation

T. Marošević

Abstract

We consider the problem of choice of norms in discrete approximation. First, we describe properties of the standard l_1, l_2 and l_ ∞ norms, and their essential characteristics for using as error criteria in discrete approximation.
After that, we mention the possibility of applications of the so-called total least squares and total least l_p norm, for finding the best approximation. Finally, we take a look at some nonstandard, visual error criteria for qualitative smoothing.

Keywords

discrete approximation; l_1 norm; l_2 norm; l_ ∞norm; total least squares; total least l_p norm; error criteria

Hrčak ID:

1834

URI

https://hrcak.srce.hr/1834

Publication date:

22.12.1996.

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