Results 21 to 30 of about 11,417 (311)

Some inequalities for convex functions of selfadjoint operators in Hilbert spaces [PDF]

, 2008
Some inequalities for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Sever S. Dragomir, Dragomir, Sever S, Sever Dragomir   +2 more
core   +1 more source

Functional version for Furuta parametric relative operator entropy

Journal of Inequalities and Applications, 2018
Functional version for the so-called Furuta parametric relative operator entropy is here investigated. Some related functional inequalities are also discussed.
Mustapha Raïssouli, Shigeru Furuichi
doaj   +1 more source

Time-Scale Integral Inequalities of Copson with Steklov Operator in High Dimension

Journal of Mathematics, 2022
The paper derives some new time-scale (TS) dynamic inequalities for multiple integrals. The obtained inequalities are special cases of Copson integral using Steklov operator in (TS) version with high dimension.
Wedad Albalawi
doaj   +1 more source

Generalized k-Fractional Integral Operators Associated with Pólya-Szegö and Chebyshev Types Inequalities

Fractal and Fractional, 2022
Inequalities related to derivatives and integrals are generalized and extended via fractional order integral and derivative operators. The present paper aims to define an operator containing Mittag-Leffler function in its kernel that leads to deduce many
Zhiqiang Zhang, Ghulam Farid, Sajid Mehmood, Kamsing Nonlaopon, Tao Yan   +4 more
doaj   +1 more source

Operator iteration on the Young inequality

Journal of Inequalities and Applications, 2016
In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.
Xianhe Zhao, Le Li, Hongliang Zuo
doaj   +1 more source

INEQUALITIES CONCERNING B-OPERATORS

Issues of Analysis, 2016
Summary: Let \(\mathcal{P}_{n}\) be the class of polynomials of degree at most \(n\). Rahman introduced the class \(\mathcal {B}_{n}\) of operators \(B\) that map \(\mathcal {P}_{n}\) into itself. In this paper we prove some results concerning such operators and thereby obtain generalizations of some well known polynomial inequalities.
WALI S.L., SHAH W.M., LIMAN A.
openaire   +3 more sources

Some new Hardy-type inequalities for Riemann-Liouville fractional q-integral operator [PDF]

, 2015
We consider the q-analog of the Riemann-Liouville fractional q-integral operator of order n∈Nn∈N.
Persson, Lars Erik, Shaimardan, Serikbol
core   +1 more source

Schur multiplier operator and matrix inequalities [PDF]

Journal of Mahani Mathematical Research, 2023
In this note we obtain a reverse version of the Haagerup Theorem. In particular, if $ A \in \mathbb{M}_{n}$ has a $ 2\times2- $ principal submatrix as $ \left[ \begin{array}{cc}1& \alpha \\\beta & 1\\\end{array}\right]$ with $ \beta \neq \bar{\alpha ...
Alemeh Sheikhhosseini
doaj   +1 more source

A Grüss type operator inequality [PDF]

Annals of Functional Analysis, 2017
In [P. Renaud, "A matrix formulation of Grüss inequality", Linear Algebra Appl. 335 (2001), 95--100] it was proved an operator inequality involving the usual trace functional. In this article, we give a refinement of such result and we answer positively the Renaud's open problem.
Bottazzi, T., Conde, C.
openaire   +4 more sources

Several inequalities for an integral transform of positive operators in Hilbert spaces with applications

Cubo, 2023
For a continuous and positive function $w\left( \lambda \right) ,$ $\lambda >0$ and $\mu $ a positive measure on $(0,\infty )$ we consider the following integral transform % \begin{equation*} \mathcal{D}\left( w,\mu \right) \left( T\right) :=\int_{0}^{
S. S. Dragomir
doaj   +1 more source