An inequality for t-geometric means
Dinh Trung Hoa
TL;DR
This paper establishes a new inequality for t-geometric means that simplifies and extends recent results by other researchers in the field.
Contribution
It introduces a novel inequality for t-geometric means that unifies and generalizes prior findings in the area.
Findings
Proves a new inequality for t-geometric means.
Shows the inequality implies recent results by Audenaert and Hayajneh-Kittaneh.
Provides a unified framework for understanding t-geometric mean inequalities.
Abstract
In this note we prove an inequality for t-geometric means that immediately implies the recent results of Audenaert [2] and Hayajneh-Kittaneh [6].
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Optimization and Variational Analysis