By Lukashov A. L.
During this paper we determine an inequality for derivatives of rational fuinctions with a set denominator generalizing V. S. Videnskii's inequality to the case of 2 periods. To turn out its asymptotic exactness, we use a brand new illustration of Akhiezer-Zolotarev fractions with the least deviation from zero on periods.
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Additional info for A Bernstein Type Inequality for Derivatives of Rational Functions on Two Intervals
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A Bernstein Type Inequality for Derivatives of Rational Functions on Two Intervals by Lukashov A. L.