[PDF] Top 20 OPERATOR JENSEN’S INEQUALITY FOR OPERATOR SUPERQUADRATIC FUNCTIONS
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OPERATOR JENSEN’S INEQUALITY FOR OPERATOR SUPERQUADRATIC FUNCTIONS
... identity operator 1 H in B ( H ). A bounded linear operator A defined on H is selfadjoint if and only if hAx, xi ∈ R for all x ∈ H ...an operator A is the set of all λ ∈ C for which the ... See full document
12
Reduced complexity Log MAP algorithm with Jensen inequality based non recursive max∗ operator for turbo TCM decoding
... ∗ operator, using the so-called Jacobian logarithm ...∗ operator and thus reduc- ing the implementation complexity of the SISO decoders without a substantial loss of decoding performance ...∗ ... See full document
11
An operator extension of Cartwright-field inequality
... An operator A ∈ B (H) is called positive if hAx, xi ≥ 0 for all x ∈ H, and we then write A ≥ ...continuous functions on the spectrum sp (A) of a self-adjoint operator A and the C ∗ -algebra generated ... See full document
10
Jensen–Steffensen inequality for strongly convex functions
... convex functions are just “stronger versions” of analogous properties of convex functions (for more details, see ...the Jensen inequality for strongly convex functions (see [4] or ... See full document
12
An operator extension of čebyšev inequality
... compact operator on B (H ), f, g ∈ C (sp (A)) continuous and non-negative functions and φ : B ( H ) → B ( H ) be a n-normalized bounded positive linear ...D-synchronous functions which is generalizes ... See full document
14
Operator iteration on the Young inequality
... Afterwards, Krnić et al. [] introduced Jensen’s operator and established some bounds for the spectra of Jensen’s operator. The obtained results were then applied to operator means. In such a way, ... See full document
8
A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps
... In this paper we show that the celebrated Davis-Choi-Jensen’s in- equality for normalised positive linear maps can be extended in a weak- ened form for convex functions. A reverse inequality and ... See full document
14
11. Refinements of Choi-Davis-Jensen's inequality
... positive operator A is invertible, then we say that it is strictly positive and write 0 < ...positive operator B has a unique positive square root B 1/2 , in particular, the absolute value of A ∈ B ( H ) ... See full document
7
On Levinson’s operator inequality and its converses
... be operator convex if f (λX + ( – λ)Y ) ≤ λf (X) + ( – λ)f (Y ) for all self-adjoint operators X, Y with spectra contained in I and all λ ∈ [, ...is operator convex, then the so-called Jensen ... See full document
15
The additive approximation on a four variate Jensen type operator equation
... In 1940, the following problem was proposed (see Ulam [11]): let G be a group and let E be a metric group with the metry d( · , · ). Given ε > 0, does there exist a δ > 0 such that if a function h : G → E satisfies ... See full document
17
A Linear Operator of a New Class of Meromorphic Multivalent Functions
... multivalent functions defined by linear derivative ...coefficient inequality, convex set, extreme points, distortion and covering theorem, -neighborhoods, partial sums and arithmetic ... See full document
13
Some inequalities of Jensen type for operator convex functions in Hilbert spaces
... is operator convex on (0, ∞) if either 1 ≤ r ≤ 2 or −1 ≤ r ≤ 0 and is operator concave on (0, ∞) if 0 ≤ r ≤ ...is operator monotone and operator concave on (0, ...is operator concave on ... See full document
19
KLEIN’S TRACE INEQUALITY AND SUPERQUADRATIC TRACE FUNCTIONS
... Jensen’s operator inequality, ...trace functions, Taiwanese ...Kian, Operator Jensen inequality for superquadratic functions, Linear Algebra ... See full document
14
On refined Hardy Knopp type inequalities in Orlicz spaces and some related results
... measurable functions. We state and prove a new refined Hardy-Knopp type inequality related to the weighted Lebesgue ...and superquadratic functions are ... See full document
17
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
A multiple Hilbert type integral inequality with a non homogeneous kernel
... weight functions and the technic of real analysis, a multiple Hilbert-type integral inequality with a non-homogeneous kernel is ...The operator expression with the norm, the reverses and some ... See full document
12
Matrix operator inequalities based on Mond, Pecaric, Jensen and Ando's
... study operator inequalities, there have been many research results, where useful references centered mainly literatures ...of operator inequalities continuously appears, readers may refer to Mond and ... See full document
13
Refinement of Jensen’s inequality for operator convex functions
... be operator monotone on I if f is continuous on I and A, B ∈ S(I), A ≤ B ...positive operator) imply f (A) ≤ f (B). The function f is said to be operator convex on I if f is continuous on I ... See full document
17
Operator P class functions
... an operator P-class function. We show that every nonnegative operator convex function is of operator P-class, but the converse is not true in ...some Jensen type operator inequalities ... See full document
8
TRACE OPERATOR INEQUALITY FOR SUPERQUADRATIC FUNCTIONS
... some operator trace inequalities are ...Klein’s inequality for all Hermitian matrices is ...the Jensen trace inequality is provided as ... See full document
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