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We consider Lagrange interpolation on the set of finitely many intervals.This problem is closely related to the least deviating polynomial from zero onsuch sets. We will obtain lower and upper estimates for the correspondingLebesgue constant. The case of two intervals of equal lengths is simpler, andan explicit construction for two non-symmetric intervals will be given only ina special case.

The order of Lebesgue constant of Lagrange interpolation on several intervals