[PDF] Top 20 Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality
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Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality
... Yang, “On the norm of a Hilbert’s type linear operator and applications,” Journal of Mathematical Analysis and Applications, vol.. Kuang, Changyong Budengshi, Hunan Jiaoyu Chubanshe, Cha[r] ... See full document
10
Some inequalities of Jensen type for operator convex functions in Hilbert spaces
... Jensen inequality for operator convex functions (1.2) and provide some refinements and reverse inequalities of ...for some particular operator convex functions such as the power and ... See full document
19
Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... Motivated by the natural question that arise in order to compare the quantity w (AB) with other expressions comprising the norm or the numerical radius of the involved operators A and B (or certain expressions ... See full document
8
OPERATOR JENSEN’S INEQUALITY FOR OPERATOR SUPERQUADRATIC FUNCTIONS
... bounded linear operators defined on a complex Hilbert space ( H ; h·, ·i) with the identity operator 1 H in B ( H ...bounded linear operator A defined on H is selfadjoint if and only if ... See full document
12
Norm and Numerical Radius Inequalities for Sums of Bounded Linear Operators in Hilbert Spaces
... As a particular case of interest that provides an affirmative answer for the validity of the inequality (3.3) for some pair of operators (A, B) , we can state [3, p. 39]: Corollary 1. Let A be a normal ... See full document
13
A New Hilbert Type Linear Operator with a Composite Kernel and Its Applications
... new Hilbert-type inequality, which is with a composite kernel function Kux, vy, and its equivalent are built in this ...accurate Hilbert-type inequalities incorporating the ... See full document
18
On a New Hilbert Hardy Type Integral Operator and Applications
... integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is ...new Hilbert- Hardy-type inequality similar to ... See full document
10
An extension of a multidimensional Hilbert type inequality
... multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of some published ...the operator expressions and a ... See full document
12
On a Hardy Hilbert type inequality with parameters
... Hardy-Hilbert-type inequality with parameters and a best possible constant factor is ...the operator expression with the norm, the reverses and some particular cases are also ... See full document
18
A Hilbert type integral inequality in the whole plane with a non homogeneous kernel and a few parameters
... of extensions of () were given by Yang (cf. []). Noticing that inequality () is a homogeneous kernel of degree –, in , A survey of the study of Hilbert-type inequalities with the ... See full document
9
A multiple Hilbert type integral inequality with a non homogeneous kernel
... multiple Hilbert-type integral inequality with a non-homogeneous kernel is ...The operator expression with the norm, the reverses and some examples with the particular kernels are also ... See full document
12
A Hilbert type operator with a symmetric homogeneous kernel of two parameters and its applications
... the Hilbert-type linear operator whose kernel is symmetric and homogeneous of degree ...extended Hilbert-type inequal- ities by using the kernel k(x, y) = ... See full document
14
On a composition of two Hilbert Hardy type integral operators and related inequalities
... build some lemmas and deduce some Hilbert-type and Hilbert-Hardy-type integral inequalities with the best possible constant ...the operator expressions are all ...two ... See full document
18
On a Hilbert Type Operator with a Class of Homogeneous Kernels
... where π/ sinπ/p is the best possible. For p q 2, both 1.10 and 1.2 reduce to 1.1. It means that there are more than two different best extensions of 1.1. In 2005, Yang 9 gave an extension of 1.8–1.10 with two pairs ... See full document
9
An operator extension of čebyšev inequality
... bounded linear operators acting on a Hilbert space ( H , h·, ...An operator A ∈ B ( H ) is called positive if hAx, xi ≥ 0 for all x ∈ H , and we then write A ≥ ... See full document
14
Polarization constant $\mathcal{K}(n,X)=1$ for entire functions of exponential type
... Remark 2.7. Y. Katznelson [7], discover the relation witch connects Bernstein’s inequality (2.3) with Banach’s theory of algebra. An element a of a Banach’s complex algebra A with unit component, is called ... See full document
11
Norm Inequalities for Sequences of Operators Related to the Schwarz Inequality
... Some norm inequalities for sequences of linear operators defined on Hilbert spaces that are related to the classical Schwarz inequality are given.. Applications for vector inequalities a[r] ... See full document
12
A Hilbert Type Linear Operator with the Norm and Its Applications
... for the applications, a more precise linear operator’s general form of Hilbert-type inequality 1.3 incorporating the norm and its equivalent form are deduced. Moreover, three equivalent ... See full document
18
On a multidimensional Hilbert type inequality with parameters
... In this paper, by the use of the way of weight coefficients, the transfer formula and technique of real analysis, a multidimensional discrete Hilbert’s inequality with parameters and a bes[r] ... See full document
14
A multidimensional Hilbert type integral inequality
... multidimensional Hilbert-type integral inequality with multi-parameters and the best possible constant factor related to the gamma function is ...the operator expressions and a few particular ... See full document
13
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