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Relative operator entropies and operator inequalities based on Young's inequality

The relative operator entropy is defined as S(A|B)=A^1/2(log A^-1/2BA^-1/2)A^1/2 and the Tsallis relative operator entropy as T_x(A|B)=A ♮_x B-Ax for strictly positive operators A and B on a Hilbert space. We extend these relative operator entropies to the n-th relative operator entropies S^[n](A|B) and T^[n]_x(A|B) based on the Taylor expansion ...
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The two-weight inequality for the Poisson operator in the Bessel setting

Journal of Mathematical Analysis and Applications, 2020
Ji Li, Brett D Wick
exaly  

On an operator Kantorovich inequality for positive linear maps

Journal of Mathematical Analysis and Applications, 2013
Minghua Lin
exaly  

More Operator Versions of the Schwarz Inequality

Communications in Mathematical Physics, 2000
Chandler Davis, Rajendra Bhatia
exaly  

An extension of Jensen’s operator inequality and its application to Young inequality

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2018
H R Moradi   +2 more
exaly  

A variant of the Jensen–Mercer operator inequality for superquadratic functions

Mathematical and Computer Modelling, 2010
Anita Matkovic, Josip Pecaric
exaly  

Inequalities for generalized Euclidean operator radius via Young's inequality

Journal of Mathematical Analysis and Applications, 2017
M S Moslehian   +2 more
exaly  

More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality

Applied Mathematics and Computation, 2014
Josip Pecaric, Mario Krnic
exaly  

Non-commutative operator Bohr inequality

Journal of Mathematical Analysis and Applications, 2003
Omar Hirzallah
exaly  

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