A Bernstein TypeL^pInequality for a Certain Class of Polynomials

Creator(s)

Robert Gardner, East Tennessee State UniversityFollow
Amy Weems, University of Colorado Boulder

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

Citation Information

Gardner, Robert; and Weems, Amy. 1998. A Bernstein TypeL^pInequality for a Certain Class of Polynomials. Journal of Mathematical Analysis and Applications. Vol.219(2). 472-478. https://doi.org/10.1006/jmaa.1997.5838 ISSN: 0022-247X