<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

Publié en ligne: 01 févr. 2019

Pages: 33 - 43

Reçu: 17 déc. 2018

Accepté: 31 déc. 2018

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

Mots clés
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

Publié en ligne: 01 févr. 2019

Pages: 33 - 43

Reçu: 17 déc. 2018

Accepté: 31 déc. 2018

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

Mots clésQuadrature 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

Mots clés
Quadrature rule, -space, Riemann-Stieltjes integral