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A quasi-trapezoid inequality for double integrals

Published online by Cambridge University Press:  17 February 2009

N. S. Barnett ,
S. S. Dragomir  and
C. E. M. Pearce
N. S. Barnett
Affiliation:
School of Communications and Informatics, Victoria University of Technology, PO Box 14428, Melbourne City MC, VIC 8001, Australia. E-mail address: {neil, sever}@matilda.vu.edu.au
S. S. Dragomir
Affiliation:
School of Communications and Informatics, Victoria University of Technology, PO Box 14428, Melbourne City MC, VIC 8001, Australia. E-mail address: {neil, sever}@matilda.vu.edu.au
C. E. M. Pearce
Affiliation:
Department of Applied Mathematics, The University of Adelaide, Adelaide SA 5005, Australia. E-mail address: [email protected]
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Abstract

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A quasi-trapezoid inequality is derived for double integrals that strengthens considerably existing results. A consonant version of the Grüss inequality is also derived. Applications are made to cubature formulæ and the error variance of a stationary variogram.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 3 , January 2003 , pp. 355 - 364
Copyright
Copyright © Australian Mathematical Society 2003

References

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