
TL;DR
This paper presents a simplified proof of a mixed mean inequality and extends the concept to include symmetric means, contributing to the mathematical understanding of inequalities.
Contribution
It offers a simpler proof of Holland's mixed mean inequality and introduces a new inequality involving symmetric means.
Findings
Simplified proof of Holland's mixed mean inequality
New mixed mean inequality involving symmetric means
Enhanced understanding of inequalities in mathematical analysis
Abstract
We give a simpler proof of a result of Holland concerning a mixed arithmetic-geometric mean inequality. We also prove a result of mixed mean inequality involving the symmetric means.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Mathematics and Applications
