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Minimum Infimum and Maximum Supremum

Definition 2.2.17 (Infimum) Let /(jc) be a function defined on the set S. If there exists a number at [Pg.34]

Remark 1 If we admit the points oo, then every function f(x) has a supremum and infimum on the set S. [Pg.35]

Remark 2 The minimum (maximum) of a function f x), if it exists, must be finite, and is an attained infimum (supremum) that is, [Pg.35]

See other pages where Minimum Infimum and Maximum Supremum is mentioned: [Pg.34]

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Infimum

Maxima and minima

Maxima/minima

Supremum