Markov-bernstein Type Inequalities for Polynomials under Erdős-type Constraints
نویسنده
چکیده
Throughout his life Erdős showed a particular fascination with inequalities for constrained polynomials. One of his favorite type of polynomial inequalities was Markovand Bernstein-type inequalities. For Erdős, Markovand Bernstein-type inequalities had their own intrinsic interest. He liked to see what happened when the polynomials are restricted in certain ways. Markovand Bernstein-type inequalities for classes of polynomials under various constraints have attracted a number of authors. In a short paper in 1940 Erdős [E40] has found a class of restricted polynomials for which the Markov factor n2 improves to cn. He proved that there is an absolute constant c such that
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