<abstract xmlns="http://www.w3.org/1999/xhtml">In this work, <italic>Lp</italic>-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are given. The presented proofs depend on new triangle type inequalities of Riemann-Stieltjes integrals.</abstract>

In this work, Lp-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are given. The presented proofs depend on new triangle type inequalities of Riemann-Stieltjes integrals.

<italic>Lp</italic> –Error Bounds of Two and Three–Point Quadrature Rules For Riemann–Stieltjes Integrals

Department of Mathematics, Faculty of Science and Information Technology

Laboratoire de Mathématiques et de leurs Applications

Université de Pau et des Pays de l’Adour

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

 –Error Bounds of Two and Three–Point Quadrature Rules For Riemann–Stieltjes Integrals

In this work, Lp-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are given. The presented proofs depend on new...

L^p –Error Bounds of Two and Three–Point Quadrature Rules For Riemann–Stieltjes Integrals

Published Online: Feb 01, 2019

Page range: 33 - 43

Received: Dec 17, 2018

Accepted: Dec 31, 2018

DOI: https://doi.org/10.1515/mjpaa-2018-0004

Keywords
Quadrature rule, -space, Riemann-Stieltjes integral

© 2018 Mohammad W. Alomari et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Lp –Error Bounds of Two and Three–Point Quadrature Rules For Riemann–Stieltjes Integrals

Published Online: Feb 01, 2019

Page range: 33 - 43

Received: Dec 17, 2018

Accepted: Dec 31, 2018

DOI: https://doi.org/10.1515/mjpaa-2018-0004

KeywordsQuadrature rule, -space, Riemann-Stieltjes integral

© 2018 Mohammad W. Alomari et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

L^p –Error Bounds of Two and Three–Point Quadrature Rules For Riemann–Stieltjes Integrals

Keywords
Quadrature rule, -space, Riemann-Stieltjes integral