Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Approximation Properties for Non-linear Integral Operators   We investigate the problem of pointwise convergence of the family of
non-linear integral operators: \begin{equation} L_\lambda(f,x) = \int_a^b
\sum_{m=1}^N f^m(t) K_{\lambda ,m}(x,t) dt, \end{equation} where $\lambda $ is
a real parameters, $K_{\lambda ,m}(x,t)$ is non-negative kernel and $f$ is the
function in $L_{1}(a,b)$. We consider two cases where $% (a,b)$ is a finite
interval and when is the whole real axis.

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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: hep-th