Results 11 to 20 of about 921,412 (275)

Some complementary inequalities to Jensen's operator inequality. [PDF]

open access: yesJ Inequal Appl, 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.
Mićić J, Moradi HR, Furuichi S.
europepmc   +7 more sources

On the Operator Hermite–Hadamard Inequality [PDF]

open access: yesComplex Analysis and Operator Theory, 2021
The main target of this paper is to discuss operator Hermite--Hadamard inequality for convex functions, without appealing to operator convexity. Several forms of this inequality will be presented and some applications including norm and mean inequalities will be shown too.
H R Moradi   +2 more
exaly   +3 more sources

Operator Jensen’s Inequality for Operator Superquadratic Functions

open access: yesAxioms, 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 ...
Christophe Chesneau   +2 more
exaly   +3 more sources

On a Jensen-Mercer operator inequality [PDF]

open access: yesBanach Journal of Mathematical Analysis, 2011
We give a general form of the Jensen-Mercer operator inequality for convex functions and its refinement for operator convex functions, continuous fields of operators and unital fields of positive linear mappings. As consequences, we obtain a global upper bound for the Jensen's operator functional, and some properties of the quasi-arithmetic operator ...
Anita Matkovic, Josip Pecaric
exaly   +6 more sources

Upper Bounds for the Euclidean Operator Radius and Applications [PDF]

open access: yes, 2006
The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an n−tuple of bounded linear operators on a Hilbert space.
Dragomir, Sever S
core   +6 more sources

Minkowski’s inequality for the AB-fractional integral operator

open access: yesJournal of Inequalities and Applications, 2019
Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics.
Aziz Khan   +2 more
exaly   +3 more sources

Gauss-Pólya Type Results and the Hölder Inequality [PDF]

open access: yes, 2000
Some special Gauss–Pólya type inequalities are obtained by the use of Hölder’s ...
Pearce, Charles   +2 more
core   +6 more sources

JENSEN'S OPERATOR INEQUALITY [PDF]

open access: yesBulletin of the London Mathematical Society, 2003
12 ...
Hansen, Frank, Pedersen, Gert K.
openaire   +3 more sources

Jordan's Inequality: Refinements, Generalizations, Applications and Related Problems [PDF]

open access: yes, 2006
This is an expository article. Some developments on refinements, generalizations, applications of Jordan’s inequality and related problems, including some estimates for three classes of complete elliptic integrals and several proofs of Wilker’s ...
Qi, Feng
core   +6 more sources

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