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Variants of Ando–Hiai inequality for operator power means
Linear and Multilinear Algebra, 2019It is known that for every t∈(0,1] and every k-tuple of positive invertible operators A=(A1,…,Ak), the Ando–Hiai type inequality for operator power means Pt/r(ω;Ar)≤Pt(ω;A)rfor all r≥1 holds, where...
Mohsen Kian, M. S. Moslehian, Yuki Seo
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Another Proof of the Inequality Between Power Means
The College Mathematics Journal, 1988(1988). Another Proof of the Inequality Between Power Means. The College Mathematics Journal: Vol. 19, No. 1, pp. 56-58.
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Inequalities for \(J\)-contractions involving the \(\alpha\)-power mean
2009For a selfadjoint involution matrix \(J\) on \(\mathbb{C}^{n}\), i.e., \(J=J^{*}\) and \(J^{2}=J\), one can consider \(\mathbb{C}^{n}\) with the indefinite Krein space structure endowed by the indefinite inner product \([x,y]:=y^{*}Jx\). Several authors have studied properties of the Krein space, especially, matrix inequalities based on the indefinite ...
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A simple proof of the entropy-power inequality
IEEE Transactions on Information Theory, 2006S Verdú, Dongning Guo
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Convergence rates for the generalized Fréchet mean via the quadruple inequality
Electronic Journal of Statistics, 2019Christof Schotz
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A Vector Generalization of Costa's Entropy-Power Inequality With Applications
IEEE Transactions on Information Theory, 2010Ruoheng Liu, Tie Liu, Shlomo Shamai
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The Mode, Median, and Mean Inequality
American Statistician, 1977Richard A Groeneveld, Glen Meeden
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