We say that
has a
global maximum at
provided that
for all
in the domain of the function. We also say that
is a global maximum value for the function. On the other hand, we say that
has a
global minimum at
provided that
for all
in the domain of the function. We also say that
is a global minimum value for the function. The global maxima and minima are also known as the
global extrema (or extreme values or absolute extrema) of the function.