Comparison of the discrete and uniform norms of polynomials on an interval and a circular arc

Comparison of the discrete and uniform norms of polynomials on an interval and a circular arc

The paper proves inequalities involving the discrete and uniform norms of polynomials on an interval and a circular arc. The proofs are based on Bernstein type inequalities. The inequalities obtained supplement the corresponding results by Rakhmanov, Shekhtman, Sheil-Small, and Dubinin. Bibliography...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2013-08, Vol.193 (1), p.100-105
1. Verfasser: Kalmykov, S. I.
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Mathematics and Statistics
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description The paper proves inequalities involving the discrete and uniform norms of polynomials on an interval and a circular arc. The proofs are based on Bernstein type inequalities. The inequalities obtained supplement the corresponding results by Rakhmanov, Shekhtman, Sheil-Small, and Dubinin. Bibliography: 8 titles.
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title Comparison of the discrete and uniform norms of polynomials on an interval and a circular arc
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