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

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