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On Asymptotics for the Uniform Norms of the Lagrange Interpolation Polynomials Corresponding to Extended Chebyshev Nodes, SIAM Journal on Numerical Analysis, Vol. 25, No. 2 (Apr., 1988), pp. 461-469 ...
Some definitions on stability of interpolating process are given and then the sufficient and necessary conditions are obtained. On this basis, we conclude that the Lagrange interpolation is unstable, ...