The degree of approximation by Chebyshevian splines

DeVore, R.; Richards, F.

doi:10.1090/S0002-9947-1973-0336160-9

The degree of approximation by Chebyshevian splines
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by R. DeVore and F. Richards

Trans. Amer. Math. Soc. 181 (1973), 401-418

DOI: https://doi.org/10.1090/S0002-9947-1973-0336160-9

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Abstract:

This paper studies the connections between the smoothness of a function and its degree of approximation by Chebyshevian splines. This is accomplished by proving companion direct and inverse theorems which give a characterization of smoothness in terms of degree of approximation. A determination of the saturation properties is included.

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