Harmonic polynomials and generalization of Ostrowski inequality with applications in numerical integration

Citation
J. Pecaric et S. Varosanec, Harmonic polynomials and generalization of Ostrowski inequality with applications in numerical integration, NONLIN ANAL, 47(4), 2001, pp. 2365-2374
Citations number
11
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
4
Year of publication
2001
Pages
2365 - 2374
Database
ISI
SICI code
0362-546X(200108)47:4<2365:HPAGOO>2.0.ZU;2-W
Abstract
We provide a generalization of results given by Pearce and Pecaric in [7] r elated to the Ostrowski integral inequality. Applying our results in the Ne wton-Cotes integration formulae we obtain new error estimates of those form ulae.