A Bernstein TypeLpInequality for a Certain Class of Polynomials

Document Type

Article

Publication Date

3-15-1998

Description

Bernstein's classical theorem states that for a polynomialPof degree at mostn, maxz=1P′(z)≤nmaxz=1P(z). We give related results for polynomialsPsatisfying the conditionsP′(0)=P″(0)=···=P (m-1)(0)=0 andP(z)≠0 for z

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