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Convex Bernstein limits and sharp recovery on expanding intervals

Year: 2026
Type: preprint
Abstract: We determine when approximation by convex polynomials on expanding intervals converges to best approximation on the real line by convex entire functions of exponential type at most $σ>0$. For intervals of radius $(n-γ_n)/σ$, where $0\leγ_n
Language: English
Open Access status: green
OpenAlex ID: W7223277052
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