Results 31 to 40 of about 568 (48)

Power vector inequalities for operator pairs in Hilbert spaces and their applications

Open Mathematics
This study explores the power vector inequalities for a pair of operators (B,C)\left(B,C) in a Hilbert space. By utilizing a Mitrinović-Pečarić-Fink-type inequality for inner products and norms, we derive various power vector inequalities.
Altwaijry Najla, Dragomir Silvestru Sever, Feki Kais   +2 more
doaj   +1 more source

Variational representations related to Tsallis relative entropy

, 2019
We develop variational representations for the deformed logarithmic and exponential functions and use them to obtain variational representations related to the quantum Tsallis relative entropy.
Hansen, Frank, Shi, Guanghua
core   +1 more source

Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces [PDF]

, 2008
Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
core  

Operator inequalities related to weak 2-positivity [PDF]

, 2012
In this paper we introduce the notion of weak 2-positivity and present some examples. We establish some operator Cauchy--Schwarz inequalities involving the geometric mean and give some applications. In particular, we present some operator versions of Hua'
Jun Ichi Fujii, Mohammad Sal, Moslehian
core  

Accretive partial transpose matrices and their connections to matrix means

Open Mathematics
Accretive partial transpose (APT) matrices have been recently defined, as a natural extension of positive partial transpose (PPT) matrices. In this paper, we discuss further properties of APT matrices in a way that extends some of those properties known ...
Aldabbas Eman, Sababheh Mohammad
doaj   +1 more source

Symmetric norms and reverse inequalities to Davis and Hansen-Pedersen characterizations of operator convexity

, 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
core   +1 more source

Noncommutative Chebyshev inequality involving the Hadamard product

, 2018
We present several operator extensions of the Chebyshev inequality for Hilbert space operators. The main version deals with the synchronous Hadamard property for Hilbert space operators.
Bakherad, Mojtaba, Dragomir, Silvestru Sever   +1 more
core  

Reverses of Ando's and Hölder-McCarty's inequalities. [PDF]

J Inequal Appl, 2018
Hajmohamadi M, Lashkaripour R, Bakherad M.   +2 more
europepmc   +1 more source

A generalization and an application of the arithmetic-geometric mean inequality for the Frobenius norm. [PDF]

J Inequal Appl, 2018
Wu X.
europepmc   +1 more source

Some refinements of operator reverse AM-GM mean inequalities. [PDF]

J Inequal Appl, 2017
Xue J.
europepmc   +1 more source