analysis / Approximation Theory

Erdős Problem #1133

Must every sufficiently large node set admit bounded labels that force any polynomial fitting almost all labels at degree below $(1+\varepsilon)n$ to have arbitrarily large uniform norm? Claimed via Beurling density for Bernstein spaces.

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analysisApr 29, 2026Significance 10/100Registry: unreviewed

Erdős Problem #1133

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Must every sufficiently large node set admit bounded labels that force any polynomial fitting almost all labels at degree below $(1+\varepsilon)n$ to have arbitrarily large uniform norm? Claimed via Beurling density for Bernstein spaces.

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Must every sufficiently large node set admit bounded labels that force any polynomial fitting almost all labels at degree below $(1+\varepsilon)n$ to have arbitrarily large uniform norm? Claimed via Beurling density for Bernstein spaces.

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