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Some Triangle Inequalities and Generalizations

Published online by Cambridge University Press:  20 November 2018

C. E. Carroll ,
C C. Yang  and
S. Ahn
C. E. Carroll
Affiliation:
Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19174
C C. Yang
Affiliation:
Naval Research Laboratory, Washington, D. C. 20375
S. Ahn
Affiliation:
Naval Research Laboratory, Washington, D. C. 20375
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Abstract

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Let , where ai, s, and x are real, and II denotes the product over cyclic rearrangements of the subscripts. We show that, in five special cases, Dn, s(x)Dn, s(y) is greater than a fixed multiple of Dn, s(x + y).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 3 , 01 September 1980 , pp. 267 - 274
Copyright
Copyright © Canadian Mathematical Society 1980

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