Markov and Bernstein inequalities in for some weighted algebraic and trigonometric polynomials
© Kilgore. 2005
Received: 17 September 2003
Published: 31 August 2005
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 .