Results 41 to 50 of about 206,253 (185)

More power vector bounds for operator pairs in Hilbert spaces with applications

open access: yesJournal of Inequalities and Applications
This paper investigates power vector inequalities for bounded linear operator pairs ( B , C ) $(B,C)$ in a Hilbert space H $\mathcal{H}$ . By leveraging vector inequalities derived by the second author for inner products and norms, we establish various ...
Najla Altwaijry   +2 more
doaj   +1 more source

Weighted norm inequalities for polynomial expansions associated to some measures with mass points

open access: yes, 1995
Fourier series in orthogonal polynomials with respect to a measure $\nu$ on $[-1,1]$ are studied when $\nu$ is a linear combination of a generalized Jacobi weight and finitely many Dirac deltas in $[-1,1]$.
A. M. Krall   +36 more
core   +2 more sources

An operator inequality [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
An inequality is proved in abstract separable Hilbert space H where A and B are bounded self‐adjoint positive operators defined in H such that R(A) = R(B) and R(A) is closed.
openaire   +3 more sources

Curvature inequalities and extremal operators [PDF]

open access: yesIllinois Journal of Mathematics, 2019
19 ...
Misra, Gadadhar, Reza, Md. Ramiz
openaire   +3 more sources

On a new version of Hermite–Hadamard-type inequality based on proportional Caputo-hybrid operator

open access: yesBoundary Value Problems
In mathematics and the applied sciences, as a very useful tool, fractional calculus is a basic concept. Furthermore, in many areas of mathematics, it is better to use a new hybrid fractional operator, which combines the proportional and Caputo operators.
Tuba Tunç, İzzettin Demir
doaj   +1 more source

Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator

open access: yesJournal of Inequalities and Applications, 2020
The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator.
Asifa Tassaddiq   +5 more
doaj   +1 more source

An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds

open access: yes, 2019
We prove \emph{optimal} improvements of the Hardy inequality on the hyperbolic space. Here, optimal means that the resulting operator is critical in the sense of [J.Funct.Anal. 266 (2014), pp.
Berchio, Elvise   +3 more
core   +1 more source

Operator inequalities of Jensen type

open access: yesTopological Algebra and its Applications, 2013
We present some generalized Jensen type operator inequalities involving sequences of self-adjoint operators.
Moslehian M. S., Mićić J., Kian M.
doaj   +1 more source

Unital quantum operators on the Bloch ball and Bloch region

open access: yes, 2003
For one qubit systems, we present a short, elementary argument characterizing unital quantum operators in terms of their action on Bloch vectors. We then show how our approach generalizes to multi-qubit systems, obtaining inequalities that govern when a `
A. Fujiwara   +10 more
core   +1 more source

An operator inequality

open access: yesLinear Algebra and its Applications, 1990
Authors have proved some results on an operator inequality in Hilbert space.
Corach, G., Porta, H., Recht, L.
openaire   +1 more source

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