[PDF] Top 20 Some quantum f-divergence inequalities for convex functions of self-adjoint operators
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Some quantum f-divergence inequalities for convex functions of self-adjoint operators
... the quantum f -divergence, mostly in the case when f is operator convex, have been obtained in the recent papers [15], [16], [20], [21] and the references ... See full document
15
8. More operator inequalities for positive linear maps
... present some new operator inequality for convex ...type inequalities for convex and operator convex functions of self-adjoint operators for positive linear ... See full document
9
Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces
... The following result provides reverses for the inequalities (2.2) and (2.3) above: Theorem 2.2. Let A be a selfadjoint operator on the Hilbert space H and assume that Sp (A) ⊆ [m, M ] for some scalars m, M ... See full document
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Some Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
... Let A be a selfadjoint linear operator on a complex Hilbert space (H; h., .i) . The Gelfand map establishes a ∗-isometrically isomorphism Φ between the set C (Sp (A)) of all continuous functions defined on the ... See full document
10
Some Slater's Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
... Let A be a selfadjoint linear operator on a complex Hilbert space (H; h., .i) . The Gelfand map establishes a ∗-isometrically isomorphism Φ between the set C (Sp (A)) of all continuous functions defined on the ... See full document
13
Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert Spaces
... and f is a real valued continuous function on Sp (U ), then f (t) ≥ 0 for any t ∈ Sp (U ) implies that f (U) ≥ 0, ...i.e. f (U ) is a positive operator on K. Moreover, if both f and g ... See full document
21
Hermite–Hadamard type inequalities for operator geometrically convex functions
... a self-adjoint operator A. If A is a self-adjoint operator and f is a real valued continuous function on Sp(A), then f (t) ≥ 0 for any t ∈ Sp(A) implies that f (A) ≥ 0, ... See full document
16
Cebyšev’s type inequalities for positive linear maps of selfadjoint operators in Hilbert spaces
... for some real num- bers m < M. If f, g : [m, M ] −→ R are continuous, synchronous and one is convex while the other is concave on [m, M] , then by Jensen’s inequality for convex (concave) ... See full document
15
Bounding the Cebysev functional for a function that is convex in absolute value and applications
... paper some new bounds for the magnitude of C f , in the case when one of the complex valued function, say f , is convex in absolute value while the other is Lebesgue integrable on [a, b] ... See full document
22
Some Vector Inequalities for Continuous Functions of Self Adjoint Operators in Hilbert Spaces
... a self-adjoint operator with SpA ⊆ m, M, and provide different bounds for some classes of continuous functions f : m, M → ...for some particular cases including the power and ... See full document
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A new quantum f-divergence for trace class operators in hilbert spaces
... new quantum f -divergence for trace class operators in Hilbert Spaces is ...normalised convex functions it is nonnegative. Some upper bounds are ...for some classes ... See full document
23
Generalized Hermite Hadamard type inequalities involving fractional integral operators
... where the coefficients σ (k) (k ∈ N = N ∪{}) are a bounded sequence of positive real num- bers and R is the set of real numbers. With the help of (.), Raina [] and Agarwal et al. [] defined the following left-sided ... See full document
10
On some inequalities for s convex functions and applications
... important inequalities are established for the class of convex functions, but one of the most famous is the so-called Hermite-Hadamard’s inequality (or Hadamard’s inequal- ...Let f be a ... See full document
11
Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
... continuous functions defined on the spectrum of A, denoted SpA, and the C ∗ -algebra C ∗ A generated by A and the identity operator 1 H on H as follows see ... See full document
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On the basis property of the root functions of some class of non-self-adjoint Sturm-Liouville operators
... We obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville operators with some regular boundary conditions. Using these formulas, we find sufficient conditions on the ... See full document
17
On Quasi Convex Functions and Hadamard's Inequality
... In this paper we establish some inequalities of Hadamard’s type involving Godunova-Levin functions, P-functions, quasi-convex functions, J- quasi-convex functions, Wright-convex function[r] ... See full document
12
On some inequalities for relative semi convex functions
... of convex functions that are called relative semi-convex ...functions. Some Hermite-Hadamard inequalities for the relative semi-convex function and its variant forms are ... See full document
16
Some inequalities for (h,m) convex functions
... Abstract In the paper, the authors give some inequalities of Jensen type and Popoviciu type for h, m-convex functions and apply these inequalities to special means.. MSC: Primary 26A51; [r] ... See full document
12
Some self adjoint quantum semimartingales
... of F , for any projection q; measurability may be established by the use of exponential ...process F may be shown to have a strongly q-adapted projection, that is, ... See full document
26
Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
... Let A be a selfadjoint linear operator on a complex Hilbert space (H; h., .i) . The Gelfand map establishes a ∗-isometrically isomorphism Φ between the set C (Sp (A)) of all continuous functions defined on the ... See full document
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