On approximation by Lagrange interpolating polynomials for a subset of the space of continuous functions
Volume 75 / 1998
Colloquium Mathematicum 75 (1998), 1-5
DOI: 10.4064/cm-75-1-1-5
Abstract
We construct a $C^k$ piecewise differentiable function that is not $C^k$ piecewise analytic and satisfies a Jackson type estimate for approximation by Lagrange interpolating polynomials associated with the extremal points of the Chebyshev polynomials.
