A Bernstein Type Inequality for Derivatives of Rational Functions on Two Intervals
Lukashov A. L.
In this paper we establish an inequality for derivatives of rational fuinctions with a fixed denominator generalizing V. S. Videnskii's inequality to the case of two intervals. To prove its asymptotic exactness, we use a new representation of Akhiezer-Zolotarev fractions with the least deviation from 0 on two intervals.
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