Abstract
Whitney's famous theorem shows that the error of approximation to a functionf by algebraic polynomials of degree <n can be estimated by thenth order modulus of smoothness off. We show that the constants in this theorem can be taken independent ofn.
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Communicated by Ronald A. DeVore.
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Sendov, B. On the theorem and constants of H. Whitney. Constr. Approx 3, 1–11 (1987). https://doi.org/10.1007/BF01890549
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DOI: https://doi.org/10.1007/BF01890549