Results 61 to 70 of about 206,253 (185)

Jensen’s inequality for operators without operator convexity

Linear Algebra and its Applications, 2011
We give Jensen's inequality for n-tuples of self-adjoint operators, unital n-tuples of positive linear mappings and real valued continuous convex functions with conditions on the bounds of the operators. We also study operator quasi-arithmetic means under the same conditions.
Pavić, Zlatko, Mićić Hot, Jadranka, Pečarić, Josip   +2 more
openaire   +3 more sources

Operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities

Journal of Inequalities and Applications, 1998
We discuss operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities. We give a complementary inequality of Hölder–McCarthy one as an extension of [2] and also we give an application to the order preserving
Furuta Takayuki
doaj  

Martingale inequalities and Operator space structures on $L_p$ [PDF]

, 2013
We describe a new operator space structure on $L_p$ when $p$ is an even integer and compare it with the one introduced in our previous work using complex interpolation.
Pisier, Gilles
core   +2 more sources

On Fekete–Szegö Problems for Certain Subclasses of Analytic Functions Defined by Differential Operator Involving q-Ruscheweyh Operator

Journal of Function Spaces, 2020
In this paper, we define a new derivative operator involving q-Ruscheweyh differential operator using convolution. Using this new operator, we introduce two new classes of analytic functions and obtain the Fekete–Szegö inequalities.
Abdullah Alsoboh, Maslina Darus
doaj   +1 more source

Some Sharp L^2 Inequalities for Dirac Type Operators

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We use the spectra of Dirac type operators on the sphere $S^n$ to produce sharp $L^2$ inequalities on the sphere. These operators include the Dirac operator on $S^n$, the conformal Laplacian and Paenitz operator.
Alexander Balinsky, John Ryan
doaj  

New midpoint-type inequalities in the context of the proportional Caputo-hybrid operator

Journal of Inequalities and Applications
Fractional calculus is a crucial foundation in mathematics and applied sciences, serving as an extremely valuable tool. Besides, the new hybrid fractional operator, which combines proportional and Caputo operators, offers better applications in numerous ...
İzzettin Demir, Tuba Tunç
doaj   +1 more source

Some results on quantum Hahn integral inequalities

Journal of Inequalities and Applications, 2019
In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit, Chayapat Sudprasert, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
doaj   +1 more source

Operator inequalities related to weak 2-positivity [PDF]

, 2012
In this paper we introduce the notion of weak 2-positivity and present some examples. We establish some operator Cauchy--Schwarz inequalities involving the geometric mean and give some applications. In particular, we present some operator versions of Hua'
Jun Ichi Fujii, Mohammad Sal, Moslehian
core  

Robust self-testing of quantum steering assemblages via operator inequalities

New Journal of Physics
Robust self-testing provides a framework for certifying quantum resources under experimental imperfections. Improving robustness bounds for quantum resources such as quantum states, steering assemblages, and measurements is a constant effort that ensures
Beata Zjawin
doaj   +1 more source

The Inequalities for Quasiarithmetic Means

Abstract and Applied Analysis, 2012
Overview and refinements of the results are given for discrete, integral, functional and operator variants of inequalities for quasiarithmetic means. The general results are applied to further refinements of the power means.
Jadranka Mićić, Zlatko Pavić, Josip Pečarić   +2 more
doaj   +1 more source