An Integral Approximation in Three Variables

Volume 4, Issue 3 (GI8), 2003

Article 58

AN INTEGRAL APPROXIMATION IN THREE VARIABLES

SCHOOL OF COMPUTER SCIENCE AND MATHEMATICS
VICTORIA UNIVERSITY OF TECHNOLOGY
PO BOX 14428
MELBOURNE CITY MC
VICTORIA 8001, AUSTRALIA.
E-Mail: sofo@csm.vu.edu.auURL: http://rgmia.vu.edu.au/sofo

Received 15 November, 2002; Accepted 25 August, 2003.
Communicated by: C.E.M. Pearce

ABSTRACT. In this paper we will investigate a method of approximating an integral in three independent variables. The Ostrowski type inequality is established by the use of Peano kernels and provides a generalisation of a result given by Pachpatte.

Key words:
Ostrowski inequality, Three independent variables, Partial derivatives..

2000 Mathematics Subject Classification:
Primary 26D15; Secondary 41A55.

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