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arxiv: 1408.7036 · v1 · pith:VUOAC6XGnew · submitted 2014-08-29 · 🧮 math.CA

Some notes on L^(p) Bernstein inequality when 0<p<1

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keywords inequalitybernsteinprovedsharptypewhenarestovasymptotically
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Recently, Nagy-To\'okos 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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