ISSN:
1573-1340
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract Interval slopes are known to provide sharper enclosures for the range of factorable functions in comparison to interval derivatives. Presently, only the rational part of the functions is, however, treated by way of interval slopes while interval derivatives are used for the irrational components. In this paper, it is suggested to use, whenever appropriate, first- or second-order slopes for the irrational components of the factorable functions also. Theoretical considerations as well as illustrative examples show that the new approach leads to enclosures for the range that are narrower in comparison with those obtained by the traditional scheme.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1009902813842
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