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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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1978_12_01_deboor_pinkus: De Boor and Pinkus prove that among node systems containing both endpoints exactly one equioscillates and it alone minimizes the Lebesgue constant; refereed in J. Approx. Theory and credited by the site's curator.

1978_12_01_kilgore: Kilgore proves Bernstein's conjecture that, among node systems containing both endpoints, the Lebesgue constant is minimized exactly by the equioscillating system, by an argument independent of de Boor and Pinkus.

2015_06_01_rack_vajda: Rack and Vajda describe explicitly every four-node system minimizing the Lebesgue constant on [-1,1] and prove free-node minimizers non-unique for every n >= 3; refereed in Studia UBB Mathematica, credited by the curator.