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On the decay rate of Chebyshev coefficients

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It is well known that the coefficients of the Chebyshev expansion of a function f ź C - 1 , 1 decay at a rate depending on the smoothness of… Click to show full abstract

It is well known that the coefficients of the Chebyshev expansion of a function f ź C - 1 , 1 decay at a rate depending on the smoothness of f. New decay rates for the Chebyshev coefficients as well as their partial sums are obtained which are sharper than those proposed so far.

Keywords: decay rate; rate chebyshev; chebyshev coefficients

Journal Title: Applied Numerical Mathematics
Year Published: 2017

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