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Inequalities and semigroups

Published online by Cambridge University Press:  17 April 2009

W.J. Ralph
W.J. Ralph
Affiliation:
Department of MathematicsBrock UniversitySt. Catharines, Ontario, L2S 3A1Canada
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 39 , Issue 3 , June 1989 , pp. 461 - 469
Copyright
Copyright © Australian Mathematical Society 1989

References

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