Volume 4,
Issue 3 (GI8), 2003
Article
59
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ON SOME SPECTRAL RESULTS RELATING TO THE RELATIVE VALUES OF MEANS
C.E.M. PEARCE
SCHOOL OF APPLIED MATHEMATICS,
ADELAIDE UNIVERSITY,
ADELAIDE SA 5005, AUSTRALIA.
E-Mail: cpearce@maths.adelaide.edu.au
Received 21 January, 2003; Accepted 22 July, 2003.
Communicated by: P. Cerone
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ABSTRACT.
In the case of two positive numbers, the geometric mean is closer to the
harmonic than to the arithmetic mean. We derive some spectral results
relating to corresponding properties with more than two positive numbers.
Key words:
AGH inequality, Means, Relative values, Spectrum.
2000 Mathematics Subject
Classification:
26E60, 26D15.
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