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

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

Open Access
|Feb 2019

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.

Language: English
Page range: 33 - 43
Submitted on: Dec 17, 2018
Accepted on: Dec 31, 2018
Published on: Feb 1, 2019
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2019 Mohammad W. Alomari, Allal Guessab, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.