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Internal cubic symmetric forms in a small number of variables
Journal article   Open access  Peer reviewed

Internal cubic symmetric forms in a small number of variables

Raghib Abu-Saris and Mowaffaq Hajja
Mathematical inequalities & applications, Vol.10(4), pp.863-868
2007

Abstract

Mathematics Physical Sciences Science & Technology
We consider means of the form u = 3 root f is variables, and we show that if it n <= 4 and u is internal on the points (x(i), ... , x(n)) where,x(i) = 0 or 1, then mu is internal for all points (x(1) ... , x(n)) with x(i) >= 0 for all i. We highlight the similarity between this internality problem and the parallel problem pertaining to copositive symmetric cubic forms.
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https://doi.org/10.7153/mia-10-78View
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