Evaluating Elementary Functions with Chebyshev Polynomials on

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functions are periodic, inverse trigonometric functions are all multi-valued. ... approximating f(z) by P, (*) in [-1,1] is bounded by the following ... To(z)=cos(0)=1 and Ti(z)=cos(Cos-z)==. For ... f(n+1}(x) in the range (-1,1}, then the absolute error between f() ..... (In fact, the multiplications in this example can be done by left orĀ ...