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arXiv · 1901.01147

Two-Point Quadrature Rules for Riemann-Stieltjes Integrals with Lp-error estimates

Mohammad W. Alomari
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Abstract

In this work, we construct a new general two-point quadratre rules for the Riemann--Stieltjes integral $\int_a^b {f\left( t \right)du\left( t \right)}$, where the integrand $f$ is assumed to be satisfied with the Hölder condition on $[a,b]$ and the integrator $u$ is of bounded variation on $[a,b]$. The dual formulas under the same assumption are proved. Some sharp error $L^p$--Error estimates for the proposed quadrature rules are also obtained.

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BibTeXRIS

Mohammad W. Alomari. 2019-03-15. Two-Point Quadrature Rules for Riemann-Stieltjes Integrals with Lp-error estimates. https://doi.org/10.1515/mjpaa-2018-0010

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