Results 21 to 30 of about 382,466 (311)

More accurate operator means inequalities

Journal of Mathematical Analysis and Applications, 2018
Our main target in this paper is to present new sharp bounds for inequalities that result when weighted operator means are filtered through positive linear maps and operator monotone functions.
Ibrahim Halil Gümüş, H. Moradi, M. Sababheh   +2 more
semanticscholar   +3 more sources

Several new inequalities on operator means of non-negative maps and Khatri–Rao products of positive definite matrices

Journal of King Saud University - Science, 2014
In this paper, we provide some interested operator inequalities related with non-negative linear maps by means of concavity and convexity structure, and also establish some new attractive inequalities for the Khatri–Rao products of two or more positive ...
Z. Al-Zhour
semanticscholar   +3 more sources

Some operator inequalities via convexity [PDF]

Linear and multilinear algebra, 2021
In this article, we employ a standard convexity argument to obtain new and refined inequalities related to the matrix mean of two accretive matrices, the numerical radius and the Tsallis relative operator entropy.
H. Moradi, S. Furuichi, M. Sababheh
semanticscholar   +1 more source

On weighted norm inequalities for positive linear operators [PDF]

Proceedings of the American Mathematical Society, 1989
Let T T be a positive linear operator defined for nonnegative functions on a σ \sigma -finite measure space ( X , m , μ ) \left ( {X,m,\mu } \right ) .
Kerman, R., Sawyer, E.
openaire   +1 more source

Some improvements of numerical radius inequalities of operators and operator matrices [PDF]

Linear and multilinear algebra, 2019
We obtain upper bounds for the numerical radius of a product of Hilbert space operators which improve on the existing upper bounds. We generalize the numerical radius inequalities of operator matrices by using non-negative continuous functions on .
Pintu Bhunia, K. Paul
semanticscholar   +1 more source

Improvements of operator reverse AM-GM inequality involving positive linear maps

Journal of Inequalities and Applications, 2020
In this paper, we shall present some reverse arithmetic-geometric mean operator inequalities for unital positive linear maps. These inequalities improve some corresponding results due to Xue (J. Inequal. Appl. 2017:283, 2017).
Shazia Karim, Ilyas Ali, Muhammad Mushtaq   +2 more
doaj   +1 more source

Spectral radius of S-essential spectra

Математичні Студії, 2020
In this paper, we study the spectral radius of some S-essential spectra of a bounded linear operator defined on a Banach space. More precisely, via the concept of measure of noncompactness,we show that for any two bounded linear operators $T$ and $S ...
C. Belabbaci
doaj   +1 more source

Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices [PDF]

Mathematical Inequalities & Applications, 2019
We present new upper and lower bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space, which improve on the existing bounds.
Pintu Bhunia, K. Paul, R. Nayak
semanticscholar   +1 more source

Bargmann-Type Inequality for Half-Linear Differential Operators

Journal of Inequalities and Applications, 2009
By means of the Riccati technique, the authors obtain a Bargmann-type necessary condition for the existence of a nontrivial solution of the following perturbed half-linear Euler differential equation with at least \((n+1)\) zero points in \((0,\infty )\): \[ (\Phi(x^{\prime}))^{\prime}+[\gamma/t^{p}+c(t)]\Phi(x)=0, \] where \(\Phi (x):=|x|^{p - 2}x, p ...
Ondřej Došlý, Gabriella Bognár   +1 more
openaire   +5 more sources

Norm and Numerical Radius Inequalities for Sums of Bounded Linear Operators in Hilbert Spaces [PDF]

, 2006
Some inequalities for the operator norm and numerical radius of sums of bounded linear operators in Hilbert spaces are given.
Dragomir, Sever S
core   +2 more sources