Open Access

Markov and Bernstein inequalities in for some weighted algebraic and trigonometric polynomials

Journal of Inequalities and Applications20052005:350524

https://doi.org/10.1155/JIA.2005.413

Received: 17 September 2003

Published: 31 August 2005

Abstract

Bernstein inequalities are given for polynomials of degree at most (where ), weighted by , in norms on , and also in related spaces of weighted trigonometric polynomials. Also, Bernstein and Markov inequalities valid on are derived for polynomials of degree weighted by .

Authors’ Affiliations

(1)
Department of Mathematics and Statistics, Auburn University

Copyright

© Kilgore. 2005