MIDPOINT DERIVATIVE-BASED TRAPEZOID RULE FOR THE RIEMANN-STIELTJES INTEGRAL

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:

midpoint derivative, trapezoid rules, Riemann-Stieltjes integral, error term

Abstract

In this paper, the midpoint derivative-based trapezoid rule for the Riemann-Stieltjes integral is presented which uses derivative value at the midpoint.  This kind of quadrature rule obtains an increase of two orders of precision over the trapezoid rule for the Riemann-Stieltjes integral and the error term is investigated.  At last, the rationality of the generalization of midpoint derivative-based trapezoid rule for Riemann-Stieltjes integral is demonstrated.

Author Biography

Zhijian Ye, Civil Aviation University of China - College of Air Traffic Management

 

 

 

Cover of n°33 Italian Journal of Pure and Applied Mathematics

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Published

2014-12-29

How to Cite

Zhao, W., Zhang, Z., & Ye, Z. (2014). MIDPOINT DERIVATIVE-BASED TRAPEZOID RULE FOR THE RIEMANN-STIELTJES INTEGRAL. Italian Journal of Pure and Applied Mathematics, 33, 369–376. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6279

Issue

N°33 - December 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 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)