%0 Journal Article %T The Bernstein inequality for certain weighted algebraic and trigonometric polynomials %A Kilgore Theodore %J Journal of Inequalities and Applications %D 2002 %I Springer %X The Bernstein inequality is established on for polynomials of degree at most (where ), weighted by . The Bernstein inequality is also established in related spaces of weighted trigonometric polynomials . Markov and Bernstein inequalities are shown on the interval for polynomials of degree at most , weighted by . %K Weighted polynomials %K Rational approximation %K Bernstein inequality. %U http://www.journalofinequalitiesandapplications.com/content/7/535620