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Some Inequalities for Matrix Power Means

Bulletin of the Iranian Mathematical Society, 2019
Let $$P_t(\mu )$$ be the matrix power mean of a compactly supported probability measure $$\mu $$ on the set of positive definite matrices $$\mathbb {P}_n$$ . We present an inequality involving the matrix power mean $$P_t(\mu )$$ and its adjoint $$P_{-t}(\mu )$$ .
openaire   +2 more sources

Reverse inequalities for geometric and power means

Ukrainian Mathematical Journal, 2012
We establish exact bounds for the positive and negative exponents of summability of the power mean of a function in the case where this mean satisfies the reverse Jensen inequality.
openaire   +2 more sources

Variants of Ando–Hiai inequality for operator power means

Linear and Multilinear Algebra, 2019
It 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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On further refinements of the Jensen inequality and applications

Mathematical methods in the applied sciences
We aim to extend some recent refinements of the Jensen inequality. First, we establish even more precise estimates for the Jensen inequality. Then, we derive an improvement of the Jensen inequality with regard to h$$ h $$ ‐convexity.
M. Krnić   +2 more
semanticscholar   +1 more source

Two new extensions of the weighted arithmetic–geometric mean inequality via weak sub-majorization

Indian journal of pure and applied mathematics, 2022
Xinh Thi Dinh, Huy Quoc Duong, H. Nguyen
semanticscholar   +1 more source

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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Sharp power mean bounds for Seiffert mean

Applied Mathematics-A Journal of Chinese Universities, 2014
Yong-Min Li, Miao-Kun Wang, Y. Chu
semanticscholar   +2 more sources

Flexible self-charging power sources

Nature Reviews Materials, 2022
Ruiyuan Liu   +2 more
exaly  

Outdoor air pollution and cancer: An overview of the current evidence and public health recommendations

Ca-A Cancer Journal for Clinicians, 2020
Michelle C Turner   +2 more
exaly  

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