International Journal of Mathematics and Mathematical Sciences
Volume 32 (2002), Issue 8, Pages 491-500
doi:10.1155/S016117120211218X
Perturbations of an Ostrowski type inequality and applications
Nenad Ujević
Department of Mathematics, University of Split, Teslina 12/III, Split 21000, Croatia
Abstract
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given.