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arXiv · 1408.1497

New sharp inequalities of Ostrowski and generalized trapezoid type for the Riemann-Stieltjes integrals and applications

Mohammad W. Alomari
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Abstract

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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Mohammad W. Alomari. 2014-08-07. New sharp inequalities of Ostrowski and generalized trapezoid type for the Riemann-Stieltjes integrals and applications. https://arxiv.org/abs/1408.1497

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