Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^p$ Bernstein Inequalities and Inverse Theorems for RBF Approximation
  on $\mathbb{R}^d$   Bernstein inequalities and inverse theorems are a recent development in the
theory of radial basis function(RBF) approximation. The purpose of this paper
is to extend what is known by deriving $L^p$ Bernstein inequalities for RBF
networks on $\mathbb{R}^d$. These inequalities involve bounding a
Bessel-potential norm of an RBF network by its corresponding $L^p$ norm in
terms of the separation radius associated with the network. The Bernstein
inequalities will then be used to prove the corresponding inverse theorems.

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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph