Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arestov's theorems on Bernstein's inequality   We give a simple, elementary, and at least partially new proof of Arestov's
famous extension of Bernstein's inequality in $L_p$ to all $p \geq 0$. Our
crucial observation is that Boyd's approach to prove Mahler's inequality for
algebraic polynomials $P_n \in {\mathcal P}_n^c$ can be extended to all
trigonometric polynomials $T_n \in {\mathcal T}_n^c$.

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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys