Results 81 to 90 of about 206,253 (185)

Poincaré Inequalities for Composition Operators with Lφ-Norm

Abstract and Applied Analysis, 2014
We establish the Poincaré-type inequalities for the composition of the homotopy operator, exterior derivative operator, and the projection operator with Lφ-norm applied to the nonhomogeneous A-harmonic equation in Lφ(Ω)-averaging domains.
Ru Fang
doaj   +1 more source

Boundedness and compactness of a class of Hardy type operators

Journal of Inequalities and Applications, 2016
We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the Riemann-Liouville, Hadamard, and Erdelyi-Kober operators. In particular, these results imply new results in the theory
Akbota M Abylayeva, Ryskul Oinarov, Lars-Erik Persson   +2 more
doaj   +1 more source

A New Hilbert-Type Linear Operator with a Composite Kernel and Its Applications

Journal of Inequalities and Applications, 2010
A new Hilbert-type linear operator with a composite kernel function is built. As the applications, two new more accurate operator inequalities and their equivalent forms are deduced.
Zhong Wuyi
doaj  

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

Operator inequalities via the triangle inequality

Journal of Mathematical Inequalities
This article improves the triangle inequality for complex numbers, using the Hermite-Hadamard inequality for convex functions. Then, applications of the obtained refinement are presented to include some operator inequalities. The operator applications include numerical radius inequalities and operator mean inequalities.
Sababheh, Mohammad, Furuichi, Shigeru, Moradi, Hamid Reza   +2 more
openaire   +2 more sources

Reverses of operator Aczél inequality

Comptes Rendus. Mathématique, 2018
In this paper, we present some inequalities involving operator decreasing functions and operator means. These inequalities provide some reverses of the operator Aczél inequality dealing with the weighted geometric mean.
Kaleibary, Venus, Furuichi, Shigeru
openaire   +3 more sources

Norm inequalities in operator ideals

Journal of Functional Analysis, 2008
23 ...
openaire   +4 more sources

Operator extensions of Hua’s inequality

Linear Algebra and its Applications, 2009
We give an extension of Hua's inequality in pre-Hilbert $C^*$-modules without using convexity or the classical Hua's inequality. As a consequence, some known and new generalizations of this inequality are deduced. Providing a Jensen inequality in the content of Hilbert $C^*$-modules, another extension of Hua's inequality is obtained. We also present an
openaire   +2 more sources

New generalized numerical radius inequalities for Hilbert space operators

Journal of Inequalities and Applications
We define generalized real and imaginary parts of an operator, as well as the generalized w h , g ( ⋅ ) $w_{h,g}(\cdot )$ numerical radius, which reduces to the t-weighted numerical radius for suitable functions h , g $h,g$ .
Fuad Kittaneh, Vuk Stojiljković
doaj   +1 more source

Operator Jensen's Inequality for Operator Superquadratic Functions

, 2019
In this work, an operator superquadratic function (in operator sense) for positive Hilbert space operators is defined. Several examples with some important properties together with some observations which are related to the operator convexity are pointed out.
openaire   +3 more sources