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Lower Bounds for Lebesgue Constants and an Erdős-Turán Interpolation Problem

Localizing Bernstein theory to prove lower bounds for the Lebesgue constants of Lagrange interpolation, with application to a problem of Erdős and Turán and to a conjectured bound from the interpolation literature.

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analysisMar 23, 2026Significance 18/100Registry: unreviewed

Lower Bounds for Lebesgue Constants and an Erdős-Turán Interpolation Problem

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Localizing Bernstein theory to prove lower bounds for the Lebesgue constants of Lagrange interpolation, with application to a problem of Erdős and Turán and to a conjectured bound from the interpolation literature.

Source authenticatedLower Bounds for Lebesgue Constants and an Erdős-Turán Interpolation Problem →
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Localizing Bernstein theory to prove lower bounds for the Lebesgue constants of Lagrange interpolation, with application to a problem of Erdős and Turán and to a conjectured bound from the interpolation literature.

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Lower Bounds for Lebesgue Constants and an Erdős-Turán Interpolation Problem — Mathematical Frontier Network