If angular perturbations satisfy n σ_n (log n +1) bounded by a small constant, perturbed Chebyshev-Lobatto nodes retain logarithmic Lebesgue constants, with an obstruction at angular scale 1/n.
Erd ˝os, Problems and results on the theory of interpolation
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When do perturbed Chebyshev--Lobatto points remain Chebyshev?
If angular perturbations satisfy n σ_n (log n +1) bounded by a small constant, perturbed Chebyshev-Lobatto nodes retain logarithmic Lebesgue constants, with an obstruction at angular scale 1/n.