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