Pointwise Remez inequality
نویسندگان
چکیده
Abstract The standard well-known Remez inequality gives an upper estimate of the values polynomials on $$[-1,1]$$ [ - 1 , ] if they are bounded by 1 a subset fixed Lebesgue measure. extremal solution is given rescaled Chebyshev for one interval. Andrievskii asked about maximal value at point, again set size. We show that either (one interval) or Akhiezer (two intervals) and prove Totik–Widom bounds value, thereby providing complete asymptotic to problem.
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2021
ISSN: ['0176-4276', '1432-0940']
DOI: https://doi.org/10.1007/s00365-021-09562-1