An Ostrowski type inequality in two dimensions using the three point rule

Authors

  • G. Hanna
  • P. Cerone
  • J. Roumeliotis

DOI:

https://doi.org/10.21914/anziamj.v42i0.618

Abstract

An Ostrowski Type inequality in two dimensions for double integrals on a rectangle is developed. The resulting integral inequalities are valid for the class of functions with bounded first derivatives. They are employed to approximate the double integral by up to 6 one dimensional integrals and nine functions evaluations. Examples using the resulting cubature formulae are presented.

Published

2000-12-25

Issue

Section

Proceedings Computational Techniques and Applications Conference