Some notes on $L^{p}$ Bernstein inequality when $0<p<1$

Recently, Nagy-Toókos and Totik-Varga proved an asymptotically sharp $L^{p}$ Bernstein type inequality on union of finitely many intervals. We extend this inequality to the case when the power $p$ is between $0$ and $1$; such sharp Bernstein type inequality was proved first by Arestov.

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