Results 51 to 60 of about 769 (85)
Some inequalities involving positive linear maps under certain conditions
Operators and Matrices, 2019 We demonstrate that several well-known classical inequalities also hold for some positive linear maps on matrix algebra. It is shown that for such maps the Jensen inequality hold for all ordinary convex functions. Mathematics subject classification (2010)
R. Kumar, Rajesh Sharma, I. Spitkovsky
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Further improved Young inequalities for operators and matrices
, 2017 In this paper, we show some improvement of Young inequalities for operators and matrix versions for the Hilbert-Schmidt norm. On the basis of an operator equality, we prove intrinsic conclusion by means of a different method with others’ researches ...
Xia Zhao, Le Li, Hong-liang Zuo
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Mathematical Inequalities & Applications, 2019 For positive real numbers a and b , the weighted power mean Pt,q(a,b) and the weighted Heron mean Kt,q(a,b) are defined as follows: For t ∈ [0,1] and q ∈ R , Pt,q(a,b) = {(1− t)aq + tbq} q and Kt,q(a,b) = (1− q)a1−tbt + q{(1− t)a+ tb} .
Masatoshi Ito
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OPERATOR VERSIONS OF SHANNON TYPE INEQUALITY
, 2016 In this paper, we present some refinements and precise estimations of parametric ex- tensions of Shannon inequality and its reverse one given by Furuta in Hilbert space operators.
I. Nikoufar
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More refinements of the operator reverse AM-GM inequality for positive linear maps
Journal of Mathematical Inequalities, 2019 This paper aims to present some operator inequalities for positive linear maps. These inequalities are refinements of the results presented by Xue in [J. Inequal. Appl. 2017:283, 2017]. Mathematics subject classification (2010): 47A30, 47A63.
Ilyas Ali, A. Shakoor, A. Rehman
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Additive refinements and reverses of Young's operator inequality with applications
Journal of Mathematical Inequalities, 2019 In this paper we obtain some new additive refinements and reverses of Young’s operator inequality. Applications related to the Hölder-McCarthy inequality for positive operators and for trace class operators on Hilbert spaces are given as well ...
S. Dragomir
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Characterization of operator convex functions by certain operator inequalities
Mathematical Inequalities & Applications, 2019 For λ ∈ (0,1) , let ψ be a non-constant, non-negative, continuous function on (0,∞) and let Γλ (ψ) be the set of all non-trivial operator means σ such that an inequality ψ(A∇λ B) ψ(A)σψ(B) holds for all A,B ∈ B(H)++ . Then we have: 1.
H. Osaka, Yukihiro Tsurumi, Shuhei Wada
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An extension of the Golden-Thompson theorem
, 2014 In this paper, we shall prove |treA+B|≤tr(|eA||eB|) for normal matrices A, B. In particular, treA+B≤tr(eAeB) if A, B are Hermitian matrices, yielding the Golden-Thompson inequality.MSC:15A16, 47A63, 15A45.
Hongyi Li, Di Zhao
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Eigenvalue inequalities related to the Ando-Hiai inequality
, 2017 In this paper, we show that if f is a doubly concave function on [0,∞) and 0 < sA B tA for some scalars 0 < s t with w = t/s , then for every k = 1,2, · · · ,n , λk( f (A) f (B)) w 1 4 +w− 1 4 2 λk( f (A B)), where A B = A 1 2 (A− 1 2 BA− 1 2 ) 1 2 A 1 2
M. Ghaemi, V. Kaleibary
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, 2005 Some rearrangement inequalities for symmetric norms on matrices are given as well as related results for operator convex functions.Comment: to appear in ...
Bourin, Jean-Christophe
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