Results 31 to 40 of about 349,949 (184)
p pages; to appear in Linear Algebra Appl. (LAA)
openaire +2 more sources
In the paper, we study the oscillatory and spectral properties of a fourth-order differential operator. These properties are established based on the validity of some weighted second-order differential inequality, where the inequality’s weights are the ...
Askar Baiarystanov +2 more
doaj +1 more source
Operator inequalities and normal operators
Over the last years, a lot of work has appeared on operator inequalities. The present authors use some advantages offered by the context of finite-dimensional Hilbert spaces and establish complete characterizations of certain distinguished classes of operators (self-adjoint, unitary reflection, normal) in terms of operator inequalities.
Menkad, Safa, Seddik, Ameur
openaire +2 more sources
A natural derivative on [0,n] and a binomial Poincar\'e inequality [PDF]
We consider probability measures supported on a finite discrete interval $[0,n]$. We introduce a new finitedifference operator $\nabla_n$, defined as a linear combination of left and right finite differences. We show that this operator $\nabla_n$ plays a
Hillion, Erwan +2 more
core +4 more sources
An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds
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
Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities
The main purpose of this paper is to present some weighted arithmetic-geometric operator mean inequalities. These inequalities are refinements and generalizations of the corresponding results.
Jianming Xue, Xingkai Hu
doaj +1 more source
New Investigation on the Generalized K-Fractional Integral Operators
The main objective of this paper is to develop a novel framework to study a new fractional operator depending on a parameter K > 0, known as the generalized K-fractional integral operator.
Saima Rashid +4 more
doaj +1 more source
A sharp integral inequality for the dyadic maximal operator and a related stability result
We prove a sharp integral inequality for the dyadic maximal operator due to which the evaluation of the Bellman function of this operator with respect to two variables is possible, as can be seen in [3].
Nikolidakis, Eleftherios N.
core +1 more source
Operator iteration on the Young inequality
In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.
Xianhe Zhao, Le Li, Hongliang Zuo
doaj +1 more source
Approximation of an Additive ϱ1,ϱ2-Random Operator Inequality
We solve the additive ϱ1,ϱ2-random operator inequality ξtTω,u+v−Tω,u−Tω,v≥κMξtϱ1Tω,u+v+Tω,u−v−2Tω,u,ξtϱ22Tω,u+v/2−Tω,u−Tω,v, in which ϱ1,ϱ2∈ℂ are fixed and max2ϱ1 ...
Sun Young Jang, Reza Saadati
doaj +1 more source

