A Necessary and Sufficient condition that should be comparable with for all
Positive values of the is that one of () and () should be majorized by the other. If
, then

with equality only when () and () are identical or when all the are equal. See Hardy

**References**

Hardy, G. H.; Littlewood, J. E.; and Pólya, G. *Inequalities, 2nd ed.* Cambridge, England: Cambridge
University Press, pp. 44-48, 1988.

© 1996-9

1999-05-26