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Extremum

From Encyclopedia of Mathematics - Reading time: 1 min

A maximum or minimum value of a real-valued function. (Cf. Maximum and minimum points.) In the calculus of variations the term "extremum" is also used in the study of greatest or smallest values of a functional.


Comments[edit]

Cf. also Maximum and minimum of a function.

In variational calculus the term extremal for a curve on which a function(al) attains its maximum (or minimum) values is often used.


How to Cite This Entry: Extremum (Encyclopedia of Mathematics) | Licensed under CC BY-SA 3.0. Source: https://encyclopediaofmath.org/wiki/Extremum
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