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Some Inequalities for Matrix Power Means
Bulletin of the Iranian Mathematical Society, 2019Let $$P_t(\mu )$$ 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 $$P_{-t}(\mu )$$ .
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Reverse inequalities for geometric and power means
Ukrainian Mathematical Journal, 2012We 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.
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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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On further refinements of the Jensen inequality and applications
Mathematical methods in the applied sciencesWe 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
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Two new extensions of the weighted arithmetic–geometric mean inequality via weak sub-majorization
Indian journal of pure and applied mathematics, 2022Xinh Thi Dinh, Huy Quoc Duong, H. Nguyen
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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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Sharp power mean bounds for Seiffert mean
Applied Mathematics-A Journal of Chinese Universities, 2014Yong-Min Li, Miao-Kun Wang, Y. Chu
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