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Computing

, Volume 22, Issue 4, pp 325–337 | Cite as

Calculus for interval functions of a real variable

  • S. Markov
Article

Abstract

Some properties of the algebraical system <I(R),+,o,−>, where <I(R),+,o> is the well known quasinear interval space and “−” is a nonstandard operation such thata−a=o, are given in this paper. The an elementary calculus for interval functions using this nonstandard arithmetic is discussed.

Keywords

Computational Mathematic Interval Function Algebraical System Real Variable Interval Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Differential- und Integralrechnung für Intervallfunktionen einer reellen Variablen

Zusammenfassung

In dieser Arbeit betrachten wir die Menge <I(R),+,o,−> aller Intenvale hinsichtlich der zwei bekannten Verknüpfungen +und o und einer Nicht-Standard-Verknüpfung “−” mit der Eigenschafta−a=o. Eine elementare Differential- und Integralrechnung für intervallwertige Funktionen kann man auf dieser Basis entwickeln.

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References

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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • S. Markov
    • 1
  1. 1.Department of MathematicsUniversity of SofiaSofiaBulgaria

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