Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New sharp inequalities of Ostrowski and generalized trapezoid type for
  the Riemann-Stieltjes integrals and applications   In this paper, new sharp weighted generalizations of Ostrowski and
generalized trapezoid type inequalities for the Riemann--Stieltjes integrals
are proved. Several related inequalities are deduced and investigated. New
Simpson's type inequalities for $\mathcal{RS}$--integral are pointed out.
Finally, as application; an error estimation of a general quadrature rule for
$\mathcal{RS}$--integral via Ostrowski--generalized trapezoid quadrature
formula is given.

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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
5
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: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th