compute the L-infinity norm of a function
infnorm(f, x=a..b, 'xmax')
infnorm(f, a..b, 'xmax')
procedure or expression representing the function
variable name appearing in f, if f is an expression
numerical values specifying the interval [a, b]
(optional) name which will be assigned the point of maximum
This procedure computes the L∞ (minimax) norm of a given real function f(x) on the interval [a, b]. Specifically, it computes an estimate for the value
If the second argument is a range a..b then the first argument is understood to be a Maple operator. If the second argument is an equation x=a..b then the first argument is understood to be an expression in the variable x.
If the third argument 'xmax' is present then it must be a name. Upon return, its value will be an estimate for the value of x where the maximum of f⁡x is attained.
Various levels of user information will be displayed during the computation if infolevel[infnorm] is assigned values between 1 and 4.
The command with(numapprox,infnorm) allows the use of the abbreviated form of this command.
r2,3 ≔ minimax⁡tan⁡xx,x=0..Pi4,2,3
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