Extrema
The upper and lower bounds of a real valued function are of interest in several situations in pure as well as applied Mathematics
Absolute Extrema
Let be a set
Let
Let the set be bounded
Then is called the Absolute or Global maximum of
and is called the Absolute or Global minimum of
Local Extrema
Let
Let
is said to be a Local maximum iff such that
is said to be a Local minimum iff such that
See Also
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