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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Markov-Bernstein like inequalities for monotone polynomials
Let $P$ be a polynomial with real coefficients, and $\deg P=d$. There is Markov-Berenstein inequality: $P′(x)\leq\frac{d\|P\|}{\sqrt{1-x^2}}$,where $\|P\|=\max_{|x|\le1} |P(x)|$ and $|x|\leq1$. Are th …
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Accepted
Markov-Bernstein like inequalities for monotone polynomials
The following paper seems to fully answer the question:
http://arxiv.org/pdf/1205.0846.pdf.