Numerical observations document peculiar geometric properties of the Lebesgue function on [-1,1] and [-1,1]^2 together with open problems about its geometry.
Brutman,On the Lebesgue function for polynomial interpolation, SIAM J
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Geometric properties of the Lebesgue function
Numerical observations document peculiar geometric properties of the Lebesgue function on [-1,1] and [-1,1]^2 together with open problems about its geometry.