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85.16 More on the relative position of means I*

Published online by Cambridge University Press:  01 August 2016

C. E. M. Pearce
Affiliation:
Applied Mathematics Department, Adelaide University, Adelaide SA 5005, Australia
J. Pečarić
Affiliation:
Applied Mathematics Department, Adelaide University, Adelaide SA 5005, Australia

Abstract

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Type
Notes
Copyright
Copyright © The Mathematical Association 2001

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Footnotes

*

Editor’s note: This note (received February 1999) and the one following it (received September 1999) arrive at equivalent results by quite different routes. Note that Pearce and Pečarić consider (A - G)/(G - H) whereas Lord considers (A - G)/(A - H).

References

1. Scott, J. A., On the theorem of means: is G nearer A or HI , Math. Gaz. 82 (1998) p. 104.Google Scholar
2. Mitrinović, D. S., Pečarić, J. E. and Fink, A. M., Classical and new inequalities in analysis, Kluwer Academic Press, Dordrecht (1993).Google Scholar