Lebesgue Constants For Cantor Sets

11/04/2021

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We evaluate the values of the Lebesgue constants in polynomial interpolation for three types of Cantor sets. In all cases, the sequences of Lebesgue constants are not bounded. This disproves the statement by Mergelyan.

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Lebesgue Constants For Cantor Sets

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Lebesgue Constants For Cantor Sets

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