Convex Bernstein limits and sharp recovery on expanding intervals

2026-10-23来源 arXiv cs.NAEnglish
arXiv:2610.31546v1 Announce Type: new 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 $\sigma>0$. For intervals of radius $(n-\gamma_n)/\sigma$, where $0\le\gamma_n

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