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.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-013-1437-z