Results 11 to 20 of about 8,645,321 (278)

Some generalizations of operator inequalities for positive linear maps

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we generalize some operator inequalities for positive linear maps due to Lin (Stud. Math. 215:187-194, 2013) and Zhang (Banach J. Math. Anal. 9:166-172, 2015).
Jianming Xue, Xingkai Hu
doaj   +2 more sources

Certain integral inequalities involving tensor products, positive linear maps, and operator means

open access: yesJournal of Inequalities and Applications, 2016
We present a number of integral inequalities involving tensor products of continuous fields of bounded linear operators, positive linear maps, and operator means.
Pattrawut Chansangiam
doaj   +2 more sources

The Strong Approximation by Linear Positive Operator In terms of the Averaged Modulus of Order One [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2014
In this work, we introduceBernst-ein linear positive operatorsB_(n,k) (f,x) in the space of all continuous functionsC_I where I=[0,1] with some properties of this operator so to find the strongapproxi- mation of continuous functions with the averaged ...
Zainab Esa Abdul Naby
doaj   +3 more sources

New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces [PDF]

open access: yes, 2006
Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ...
Dragomir, Sever S
core   +5 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   +5 more sources

Some Inequalities for the Euclidean Operator Radius of Two Operators in Hilbert Spaces [PDF]

open access: yes, 2006
Some sharp bounds for the Euclidean operator radius of two bounded linear operators in Hilbert spaces are given. Their connection with Kittaneh’s recent results which provide sharp upper and lower bounds for the numerical radius of linear operators ...
Dragomir, Sever S
core   +6 more sources

Maximal functions and subordination for operator groups. [PDF]

open access: yes, 2002
Let E be a UMD Banach space and L a positive and self-adjoint operator in L^2 of Laplace type such that the imaginary powers L^{-it} form a C_0 group of exponential growth on L^p(E).
Blower, Gordon
core   +4 more sources

Approximation by Tensor-Product Kind Bivariate Operator of a New Generalization of Bernstein-Type Rational Functions and Its GBS Operator

open access: yesMathematics, 2022
We introduce a tensor-product kind bivariate operator of a new generalization of Bernstein-type rational functions and its GBS (generalized Boolean sum) operator, and we investigate their approximation properties by obtaining their rates of convergence ...
Esma Yıldız Özkan, Gözde Aksoy
doaj   +1 more source

Note on Positive Linear Operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1965
PROOF. Letf.-T*f and gn->g in C, and let an and I3n be the least numbers such that acxf. > gn and f.g1,>f, These exist by Lemma 1 and are positive since S is Archimedean, and 0(fn,, gn) = On satisfies ee9 =ana4n. Let 0= lim inf On. The case 0 =oo is trivial, since it imposes no restriction on O(f, g). Moreover, by restricting attention to a subsequence,
openaire   +2 more sources

On the Monotonicity of Positive Linear Operators

open access: yesJournal of Approximation Theory, 1998
The main result of this paper concerns positive linear approximation operators of the so-called Feller type \[ K_n(f,x): =Ef(T_{n,x}) =\int_I f(t)dG_{n,x} (t),\;n\in\mathbb{N}, \] where the random variable \(T_{n,x}\) is the arithmetic mean of identically distributed random variables \(X_{i,x}\), \(I=1, \dots, n\) taking values in an interval \(I\) and
KHAN M. K.   +2 more
openaire   +3 more sources

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