COMPOSITE TRAPEZOID RULE FOR THE RIEMANN-STIELTJES INTEGRAL AND ITS RICHARDSON EXTRAPOLATION FORMULA

Authors

  • Weijing Zhao Civil Aviation University of China - College of Air Traffic Management
  • Zhaoning Zhang Civil Aviation University of China - College of Air Traffic Management
  • Zhijian Ye Civil Aviation University of China - College of Air Traffic Management

Keywords:

composite rule, trapezoid rules, Riemann-Stieltjes integral, error term

Abstract

In this paper, the composite trapezoid rule for the Riemann-Stieltjes integralis presented and its error is investigated.  And then, the rationality of the generalization of composite trapezoid rule for Riemann-Stieltjes integral is demonstrated.  At last, Richardson extrapolation is applied to the composite trapezoid rule for the Riemann-Stieltjes integral to obtain high accuracy approximations
with little computational cost.

Cover of n°35 Italian Journal of Pure and Applied Mathematics

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Published

2015-12-31

How to Cite

Zhao, W., Zhang, Z., & Ye, Z. (2015). COMPOSITE TRAPEZOID RULE FOR THE RIEMANN-STIELTJES INTEGRAL AND ITS RICHARDSON EXTRAPOLATION FORMULA. Italian Journal of Pure and Applied Mathematics, 35, 311–318. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6430

Issue

N°35 - December 2015

Section

Articoli - Forum Editrice

License

Copyright (c) 2015 Weijing Zhao, Zhaoning Zhang, Zhijian Ye

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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