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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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The Weighted Arithmetic Mean–Geometric Mean Inequality is Equivalent to the Hölder Inequality
Symmetry, 2018Xian-Ming Gu, Jianxing Zhao
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A simple proof of the entropy-power inequality
IEEE Transactions on Information Theory, 2006Dongning Guo
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Convergence rates for the generalized Fréchet mean via the quadruple inequality
Electronic Journal of Statistics, 2019Christof Schötz
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A Vector Generalization of Costa's Entropy-Power Inequality With Applications
IEEE Transactions on Information Theory, 2010Tie Liu +2 more
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Yet Another Proof of the Entropy Power Inequality
IEEE Transactions on Information Theory, 2017Olivier Rioul
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