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

Mohammad W. Alomari

Mohammad W. Alomari

Department of Mathematics, Faculty of Science and Information Technology, Irbid National UniversityIrbid, Jordan
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Alomari, Mohammad W.
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Allal Guessab

Allal Guessab

Laboratoire de Mathématiques et de leurs Applications, UMR CNRS 4152, Université de Pau et des Pays de l’AdourPau, France
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Feb 01, 2019
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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
© 2018 Mohammad W. Alomari et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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.

Language:
English
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3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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