New estimates of the remainder term in Simpson's quadrature formula for functions of bounded variation

Wenjun Liu^*, Yun Sun

ABSTRACT: In this paper we establish a refinement of Simpson's inequality for functions of bounded variation. As an application, we obtain some new estimates of the remainder term in Simpson's quadrature formula.

Download PDF

6 Downloads 1559 Views

College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

* Corresponding author, E-mail: wjliu@nuist.edu.cn

Received 30 Mar 2013, Accepted 3 Nov 2013

New estimates of the remainder term in Simpson's quadrature formula for functions of bounded variation

Wenjun Liu*, Yun Sun

Wenjun Liu^*, Yun Sun