Bounds for the Ratios of Differences of Power Means in Two Arguments
Omran Kouba
TL;DR
This paper derives sharp bounds for the ratio of differences of Power Means using classical analysis, extending previous results and providing a deeper understanding of the relationships between power means.
Contribution
It generalizes and extends prior bounds on ratios of differences of Power Means, offering new sharp bounds through classical analysis methods.
Findings
Established sharp bounds for ratios of differences of Power Means
Generalized previous results by Wu (2005) and Wu & Debnath
Enhanced understanding of power mean relationships
Abstract
Using methods from classical analysis, sharp bounds for the ratio of differences of Power Means are obtained. Our results generalize and extend previous ones due to S. Wu(2005), and to S. Wu and L. Debnath.
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