Results 1 to 10 of about 349,949 (184)

Some complementary inequalities to Jensen’s operator inequality [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions.
Jadranka Mićić, Hamid Reza Moradi, Shigeru Furuichi   +2 more
doaj   +7 more sources

JENSEN'S OPERATOR INEQUALITY [PDF]

Bulletin of the London Mathematical Society, 2003
12 ...
Hansen, Frank, Pedersen, Gert K.
openaire   +4 more sources

Operator Jensen’s Inequality for Operator Superquadratic Functions

Axioms, 2022
In this work, an operator superquadratic function (in the 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 ...
Mohammad W. Alomari, Christophe Chesneau, Ahmad Al-Khasawneh   +2 more
doaj   +1 more source

Operator entropy inequalities [PDF]

Colloquium Mathematicum, 2013
11 pages; to appear in Colloq ...
Morassaei, A., Mirzapour, F., Moslehian, M. S.   +2 more
openaire   +2 more sources

Mixed Variational Inequality Problem Involving Generalized Yosida Approximation Operator in q-Uniformly Smooth Banach Space

Journal of Mathematics, 2022
A mixed variational inequality problem involving generalized Yosida approximation operator is considered and studied in q-uniformly smooth Banach space.
Arvind Kumar Rajpoot, Rais Ahmad, Mohd Ishtyak, Ching-Feng Wen   +3 more
doaj   +1 more source

Best approximation of ( G 1 , G 2 ) $(\mathcal{G}_{1},\mathcal{G}_{2})$ -random operator inequality in matrix Menger Banach algebras with application of stochastic Mittag-Leffler and H $\mathbb{H}$ -Fox control functions

Journal of Inequalities and Applications, 2022
We stabilize pseudostochastic ( G 1 , G 2 ) $(\mathcal{G}_{1},\mathcal{G}_{2})$ -random operator inequality using a class of stochastic matrix control functions in matrix Menger Banach algebras.
Safoura Rezaei Aderyani, Reza Saadati, Themistocles M. Rassias, Choonkil Park   +3 more
doaj   +1 more source

Sherman's operator inequality [PDF]

Journal of Mathematical Inequalities, 2021
In this paper we deal with Sherman's inequality and its complementary inequalities for operator convex functions, whose arguments are the bounded self-adjoint operators from C*-algebra on a Hilbert spaces and positive linear mappings between C*-algebras. We introduce the so called Sherman's operator and study its properties.
Bradanović S.I., Mićić J., Pečarić J.   +2 more
openaire   +4 more sources

A Weak Type Vector-Valued Inequality for the Modified Hardy–Littlewood Maximal Operator for General Radon Measure on ℝn

Analysis and Geometry in Metric Spaces, 2020
The aim of this paper is to prove the weak type vector-valued inequality for the modified Hardy– Littlewood maximal operator for general Radon measure on ℝn. Earlier, the strong type vector-valued inequality for the same operator and the weak type vector-
Sawano Yoshihiro
doaj   +1 more source

Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications

Journal of Inequalities and Applications, 2009
The Meda inequality for rearrangements of the convolution operator on the Heisenberg group ℍn is proved. By using the Meda inequality, an O'Neil-type inequality for the convolution is obtained. As applications of these results, some sufficient
V. S. Guliyev, A. Serbetci, E. Güner, S. Balcı   +3 more
doaj   +2 more sources

Inequalities of Ando's Type for $n$-convex Functions [PDF]

Sahand Communications in Mathematical Analysis, 2020
By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class ...
Rozarija Mikic, Josip Pečarić
doaj   +1 more source