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Norm inequalities related to Heinz and logarithmic means [PDF]
Journal of Mathematical Inequalities, 2022 X iv :2 20 6. 05 63 2v 1 [ m at h. C A ] 1 2 Ju n 20 22 Norm Inequalities Related to Heinz and Logarithmic Means Guanghua Shi School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, China sghkanting@163.com June 14, 2022 Abstract In this
Guanghua Shi
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The weighted and the Davis-Wielandt Berezin number
Operators and Matrices, 2023 . A functional Hilbert space is the Hilbert space of complex-valued functions on some set ⊆ C that the evaluation functionals ( f ) = f ( ) , ∈ are continuous on H .
M. Garayev +2 more
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Weighted Hellinger distance and in-betweenness property
Mathematical Inequalities & Applications, 2021 In this paper we introduce the weighted Hellinger distance for matrices which is an interpolating between the Euclidean distance and the Hellinger distance. We show the equivalence of the weighted Hellinger distance and the Alpha Procrustes distance.
T. Dinh, C. Lê, B. K. Vo, T. Vuong
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A new generalized refinements of Young's inequality and applications
Journal of Mathematical Inequalities, 2021 In this work, by the weighted arithmetic-geometric mean inequality, we show if a,b > 0 and 0 ν 1. Then for all positive integer m, we have ( aν b1−ν )m + r 0 ( (a+b) −2m(ab) 2 ) +rm [( (ab) m 4 −b 2 )2 χ(0, 2 ](ν)+ ( (ab) m 4 −a 2 )2 χ( 2 ,1](ν) ] ( νa ...
M. Ighachane, M. Akkouchi
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Annales Mathematicae Silesianae, 2021 For a continuous and positive function ω (λ); λ> 0 and μ a positive measure on [0; ∞) we consider the following 𝒟-logarithmic integral transform𝒟ℒog(w,μ)(T):=∫0∞w(λ)1n(λ+Tλ)dμ(λ),\mathcal{D}\mathcal{L}og\left( {w,\mu } \right)\left( T \right): = \int_0 ...
Dragomir Silvestru Sever
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Inequalities related to Bourin and Heinz means with a complex parameter [PDF]
, 2015 A conjecture posed by S. Hayajneh and F. Kittaneh claims that given A, B positive matrices, 0≤t≤1, and any unitarily invariant norm the following inequality holds{triple vertical-rule fence}AtB1-t+BtA1-t{triple vertical-rule fence}≤{triple vertical-rule ...
Bottazzi, Tamara Paula +3 more
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A Chain of numerical radius inequalities in complex Hilbert space
Journal of Mathematical Inequalities, 2021 In this paper, we implement the improvement of numerical radius inequalities that were produced by Alomari MW. [Refinements of some numerical radius inequalities for Hilbert space operators. Linear and Multilinear Algebra.
Mohammed Al-Dolat +2 more
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Further generalized refinement of Young’s inequalities for τ -mesurable operators
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we prove that if a, b > 0 and 0 ≤ v ≤ 1.
Ighachane Mohamed Amine +1 more
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 In this paper we prove among others that, if (Aj)j=1,...,m are positive definite matrices of order n ≥ 2 and qj ≥ 0, j = 1, ..., m with ∑j=1mqj=1$$\sum\nolimits_{j = 1}^m {{q_j} = 1} $$, then 0≤11−mini∈{1,…,m}{qi}×[∑i=1mqi(1−qi)[det(Ai)]−1−2n+1∑1 ...
Dragomir Silvestru Sever
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Gradient Inequalities for an Integral Transform of Positive Operators in Hilbert Spaces
Annales Mathematicae Silesianae, 2023 For a continuous and positive function w (λ) , λ > 0 and µ a positive measure on (0, ∞) we consider the following integral transform 𝒟(w,μ)(T):=∫0∞w(λ)(λ+T)-1dμ(λ),\mathcal{D}\left( {w,\mu } \right)\left( T \right): = \int_0^\infty {w\left( \lambda ...
Dragomir Silvestru Sever
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