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Note on Best Approximation of |x|
Published online by Cambridge University Press: 20 November 2018
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In this note the best uniform approximation on [—1,1] to the function |x| by symmetric complex valued linear fractional transformations is determined. This is a special case of the more general problem studied in [1]. Namely, for any even, real valued function f(x) on [-1,1] satsifying 0 = f ( 0 ) ≤ f (x) ≤ f (1) = 1, determine the degree of symmetric approximation
and the extremal transformations U whenever they exist.
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- Copyright © Canadian Mathematical Society 1979