Atlas home || Conferences | Abstracts | about Atlas

Computational Techniques and Applications Conference and Workshops - CTAC99
September 20-24, 1999
The Australian National University
Canberra, ACT, Australia

Organizers
Mike Osborne, Bob Gingold, Steve Roberts, David Harrar II, Thanh Tran, Bob Anderssen, Henry Gardner, Markus Hegland, Lutz Grosz

View Abstracts
Conference Homepage

Some Quadrature Formulae for Absolutely Continuous Mappings Via Ostrowski Type Inequalities
by
Sever Silvestru Dragomir
Victoria University, Melbourne

We point out some n points generalizations for the celebrated integral inequality due to A. Ostrowski (1938) an apply them in obtaining general quadrature rules for the Riemann integral of absolutely continuous mappings whose derivatives belong to the Lebesgue spaces L_p[a,b]. The error analysis in terms of the p-norms of the first derivative is provided. Some extensions for mappings of bounded variation are also suggested.

For recent advancement in Numerical Integration via Theory of Inequalities, see the RGMIA (Research Group in Mathematical Inequalities and Applications) internet site: http://melba.vu.edu.au/~rgmia .

http://melba.vu.edu.au/~rgmia

Date received: August 5, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadr-05.