A refinement of the inequality between arithmetic and geometric means
J. M. Aldaz
TL;DR
This paper introduces a refined version of the classical AM-GM inequality and evaluates the typical magnitude of this improvement in specific cases.
Contribution
It provides a new refinement of the AM-GM inequality and estimates its typical improvement size in particular scenarios.
Findings
Refined the classical AM-GM inequality.
Estimated the typical size of the improvement.
Provides a more precise inequality bound.
Abstract
In this note we present a refinement of the AM-GM inequality, and then we estimate in a special case the typical size of the improvement.
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Taxonomy
TopicsMathematical Inequalities and Applications · Mathematics and Applications · Functional Equations Stability Results