Title

EXACT UPPER and LOWER BOUNDS on the DIFFERENCE between the ARITHMETIC and GEOMETRIC MEANS

Document Type

Article

Publication Date

1-1-2015

Abstract

© 2015 Australian Mathematical Publishing Association Inc. Exact upper and lower bounds on the difference between the arithmetic and geometric means are obtained. The inequalities providing these bounds may be viewed, respectively, as a reverse Jensen inequality and an improvement of the direct Jensen inequality, in the case when the convex function is the exponential.

Publication Title

Bulletin of the Australian Mathematical Society

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