On Markov and Bernstein inequalities in weighted for real polynomials


Abstract in English

In this research , we studied Markov -Bernstein inequalities for polynomials of degree at most with weight function in space on ,then we studied Markov -Bernstein inequalities for trigonometric polynomials .After that, we obtained the Markov –Bernstein inequalities for algebraicpolynomials of degree with weight function .

References used

GUVEN,A; ISRAFILOV,D-M . Multiplier theorems in weighted Smirnov spaces. J.Korean Math soc,45,No6,2008,pp.1535-1548
T.Kilgore,Interpolation properties of polynomials of degree at most 2 weighted by ,East J.Approx.7(2001),no.1,9-25
T.Kilgore,Markov and Bernstein inequalities in for some weighted algebraic and trigonometric polynomails ,Journal of Inequalities and Application .4(2005),413-421

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