Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix Fej\'{e}r and Levin-Ste\v{c}kin Inequalities   Fe{j}\'er and Levin-Ste\v{c}kin inequalities treat integrals of the product
of convex functions with symmetric functions. The main goal of this article is
to present possible matrix versions of these inequalities. In particular,
majorization results are shown of Fej\'{e}r type for both convex and log-convex
functions. For matrix Levin-Ste\v{c}kin type, we present more rigorous results
involving the partial Loewner ordering for Hermitian matrices.

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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: adap-org