In this article, we prove an inequality between the ratio of the extended logarithmic means and the ratio of the exponential means. The proof is based on an inequality between logarithmic mean and one ...
We show that for a hypoelliptic Dirichlet form operator 𝐴 on a stratified complex Lie group, if the logarithmic Sobolev inequality holds, then a holomorphic projection of 𝐴 is strongly ...
Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...
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