Results 11 to 20 of about 1,171 (115)

A concavity inequality for symmetric norms [PDF]

open access: yes, 2005
We review some convexity inequalities for Hermitian matrices an add one more to the list.Comment: accepted in ...
Bourin, Jean-christophe
core   +3 more sources

The logarithmic mean of two convex functionals

open access: yesOpen Mathematics, 2020
The purpose of this paper is to introduce the logarithmic mean of two convex functionals that extends the logarithmic mean of two positive operators. Some inequalities involving this functional mean are discussed as well.
Raïssouli Mustapha, Furuichi Shigeru
doaj   +1 more source

Some integral inequalities for operator monotonic functions on Hilbert spaces

open access: yesSpecial Matrices, 2020
Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1].
Dragomir Silvestru Sever
doaj   +1 more source

Refinements of numerical radius inequalities using the Kantorovich ratio

open access: yesConcrete Operators, 2022
In this paper, we improve some numerical radius inequalities for Hilbert space operators under suitable condition. We also compare our results with some known results. As application of our result, we obtain an operator inequality.
Nikzat Elham, Omidvar Mohsen Erfanian
doaj   +1 more source

Trace inequalities in nonextensive statistical mechanics [PDF]

open access: yes, 2005
In this short paper, we establish a variational expression of the Tsallis relative entropy. In addition, we derive a generalized thermodynamic inequality and a generalized Peierls-Bogoliubov inequality.
Furuichi, Shigeru
core   +3 more sources

Operator inequalities of Jensen type

open access: yesTopological Algebra and its Applications, 2013
We present some generalized Jensen type operator inequalities involving sequences of self-adjoint operators.
Moslehian M. S., Mićić J., Kian M.
doaj   +1 more source

A characterization of operators via Berezin symbol and related questions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, we characterize the hyponormal operators with regard to Berezin symbol and reproducing kernel. Also, we demonstrate several Berezin number inequalities for bounded linear operators.
Yamancı Ulaş
doaj   +1 more source

Bounds for total antieigenvalue of a normal operator

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3877-3884, 2004., 2004
We give an alternative proof of a theorem of Gustafson and Seddighin (1993) following the idea used by Das et al. in an earlier study of antieigenvectors (1998). The result proved here holds for certain classes of normal operators even if the space is infinite dimensional.
Sk. M. Hossein   +3 more
wiley   +1 more source

Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces [PDF]

open access: yes, 2008
Some Jensen’s type inequalities for twice differentiable functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
core   +1 more source

Certain remarks on a class of evolution quasi‐variational inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 851-855, 2000., 2000
We prove two existence theorems, one for evolution quasi‐variational inequalities and the other for a time‐dependent quasi‐variational inequality modeling the quasi‐static problem of elastoplasticity with combined kinetic‐isotropic hardening.
A. H. Siddiqi, Pammy Manchanda
wiley   +1 more source

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