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Inequalities and semigroups
Published online by Cambridge University Press: 17 April 2009
Abstract
We define the notion of a convex function between semigroups and show that for such functions one obtains not only Jensen's Inequality but a new and powerful companion inequality. Taken together, these two inequalities can be easily applied to give trivial derivations of many of the classical inequalities as well as many new inequalities.
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- Copyright © Australian Mathematical Society 1989