Results 21 to 30 of about 1,398,064 (308)
Sharp bounds for Heinz mean by Heron mean and other means
AIMS Mathematics, 2020 In this paper, some sharp bounds for Heinz mean by Heron mean and other means are presented. Further, we point out a mistake in [1] and correct it. Finally, we extend the results to the corresponding operator means.
Ling Zhu
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Inequalities for Relative Operator Entropies and Operator Means [PDF]
Acta Mathematica Vietnamica, 2018 The main purpose of this article is to study estimates for the Tsallis relative operator entropy, by the use of Hermite-Hadamard inequality. Thus, we obtain alternative bounds for the Tsallis relative operator entropy. In the process to derive these bounds, we established the significant relation between the Tsallis relative operator entropy and the ...
Shigeru Furuichi, Nicuşor Minculete
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Functions preserving operator means [PDF]
Annals of Functional Analysis, 2020 Let $ $ be a non-trivial operator mean in the sense of Kubo and Ando, and let $OM_+^1$ the set of normalized positive operator monotone functions on $(0, \infty)$. In this paper, we study class of $ $-subpreserving functions $f\in OM_+^1$ satisfying $$f(A B) \le f(A) f(B)$$ for all positive operators $A$ and $B$. We provide some criteria for $f$ to
Shuhei Wada +2 more
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On the Geometric Mean Operator
Journal of Mathematical Analysis and Applications, 1994 AbstractWe give a characterization of pairs of weights (u, v) such that the geometric mean operator Gf(x) = exp((1/x) ∫x0 log ƒ(t) dt), defined for ƒ > 0 almost everywhere on (0, ∞), is bounded from Lp,v (0, ∞) to Lq,u (0, ∞), where 0 < q < p ≤ ∞. Our proofs are based on the rather surprising but simple observation that in the case v ≡ 1 and p > 1 the ...
Bohumír Opic, Luboš Pick
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Regular operator mappings and multivariate geometric means [PDF]
, 2014 We introduce the notion of regular operator mappings of several variables generalising the notion of spectral function. This setting is convenient for studying maps more general than what can be obtained from the functional calculus, and it allows for ...
Hansen, Frank
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SUBORDINATION RESULTS FOR A FRACTIONAL INTEGRAL OPERATOR
Проблемы анализа, 2021 In this paper, we establish several differential subordinations regarding the operator 𝐷^(−𝜆)_𝑧 𝑆𝑅^(𝑚,𝑛) defined using the fractional integral of the differential operator 𝑆𝑅^(𝑚,𝑛), obtained as a convolution product of Salagean operator 𝑆^𝑚 and ...
A. Alb Lupaş
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Second order arithmetic means in operator ideals [PDF]
, 2007 Equality of the second order arithmetic means of two principal ideals does not imply equality of their first order arithmetic means (second order equality cancellation).
Kaftal, Victor, Weiss, Gary
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Fractional integral inequalities for h-convex functions via Caputo-Fabrizio operator
AIMS Mathematics, 2021 The aim of this paper is to study h convex functions and present some inequalities of Caputo-Fabrizio fractional operator. Precisely speaking, we presented Hermite-Hadamard type inequality via h convex function involving Caputo-Fabrizio fractional ...
Lanxin Chen +5 more
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Operator means of probability measures and generalized Karcher equations [PDF]
, 2016 In this article we consider means of positive bounded linear operators on a Hilbert space. We present a complete theory that provides a framework which extends the theory of the Karcher mean, its approximating matrix power means, and a large part of Kubo-
Pálfia, Miklós
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Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality
Special Matrices, 2018 In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
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