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.
               
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