Results 251 to 260 of about 350,578 (278)

Norm Inequalities for Positive Operators

Letters in Mathematical Physics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhatia, Rajendra, Kittaneh, Fuad
openaire   +2 more sources

CLARKSON INEQUALITIES WITH SEVERAL OPERATORS

Bulletin of the London Mathematical Society, 2004
The authors discuss four norm inequalities. These inequalities hold for the Schatten \(p\)-norm as well as symmetric or unitarily invariant norms, and are extensions of the classical inequalities of \textit{J. A. Clarkson} for the Lebesgue spaces \(L_{p}\) [Trans. Am. Math. Soc. 40, 396--414 (1936; Zbl 0015.35604)].
Bhatia, Rajendra, Kittaneh, Fuad
openaire   +2 more sources

Convexity Inequalities for Positive Operators

Positivity, 2006
A (Jensen-type) pointwise convexity inequality of the form \(F (Tf) \leq T [F (f)]\) is proved for a convex function defined on a convex subset of some Banach space \(X\), where \(T\) is the \(X\)-valued extension of a positive operator on some function space.
openaire   +2 more sources

Some Norm Inequalities for Operators

Canadian Mathematical Bulletin, 1999
AbstractLet Ai , Bi and Xi (i = 1, 2,…,n) be operators on a separable Hilbert space. It is shown that if f and g are nonnegative continuous functions on [0, ∞) which satisfy the relation f(t)g(t) = t for all t in [0, ∞), thenfor every r > 0 and for every unitarily invariant norm. This result improves some known Cauchy-Schwarz type inequalities. Norm
openaire   +1 more source

Operator Inequalities.

Mathematics of Computation, 1981
Howard A. Levine, Johann Schroder
openaire   +1 more source

Levinson's operator inequality

2014
We give Levinson's operator inequality for unital fields of positive linear mappings and the largest class of continuous functions. Order among quasi- arithmetic means is similarly considered.
Mićić Hot, Jadranka, Praljak, Marjan, Pečarić, Josip   +2 more
openaire   +1 more source

Operator Inequalities Associated with Jensen’s Inequality

2000
We give a survey of various operator inequalities associated with Jensen’s inequality and study the class of operator convex functions of several variables. Related questions are considered.
openaire   +1 more source

Delay-Dependent Stability for Load Frequency Control System via Linear Operator Inequality

IEEE Transactions on Cybernetics, 2022
Changchun Hua, Yibo Wang
exaly  

New Variant of Hermite–Hadamard, Fejér and Pachpatte-Type Inequality and Its Refinements Pertaining to Fractional Integral Operator

Fractal and Fractional, 2023
Muhammad Tariq, Sotiris K Ntouyas, Asif Ali Shaikh   +2 more
exaly  

Relative operator entropies and operator inequalities based on Young's inequality

The relative operator entropy is defined as S(A|B)=A^1/2(log A^-1/2BA^-1/2)A^1/2 and the Tsallis relative operator entropy as T_x(A|B)=A ♮_x B-Ax for strictly positive operators A and B on a Hilbert space. We extend these relative operator entropies to the n-th relative operator entropies S^[n](A|B) and T^[n]_x(A|B) based on the Taylor expansion ...
openaire   +1 more source