Results 41 to 50 of about 798 (106)
The Minimum Numbers for Certain Positive Operators
, 2020 In this paper we give upper and lower bounds of the infimum of k such that kI + 2Re(T ⊗ Sm) is positive, where Sm is the m ×m matrix whose entries are all 0’s except on the superdiagonal where they are all 1’s and T ∈ B(H) for some Hilbert space H.
C. Suen
semanticscholar +1 more source
The Interpolative Ideal of Bloch Mappings
Journal of Function Spaces, Volume 2025, Issue 1, 2025.Inspired by the interpolative ideal procedure for linear operators due to Matter, the concept of interpolative ideals of a Banach normalized Bloch ideal IB∧ is introduced. For σ ∈ [0, 1), we prove that the generated ideal IB∧σ is an injective Banach normalized Bloch ideal which is located between the injective hull and the closed injective hull of IB∧.
D. Achour +3 more
wiley +1 more source
OPERATOR VERSIONS OF SHANNON TYPE INEQUALITY
, 2016 In this paper, we present some refinements and precise estimations of parametric ex- tensions of Shannon inequality and its reverse one given by Furuta in Hilbert space operators.
I. Nikoufar
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, 2020 Consider the quadratic weighted geometric mean x ν y := ∣∣ ∣∣yx−1∣∣ν x ∣∣ 2 for invertible elements x, y in a Hermitian unital Banach ∗ -algebra and real number ν . In this paper, by utilizing a result of Cartwright and Field, we obtain various upper and
S. Dragomir
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Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function
Journal of Mathematics, Volume 2025, Issue 1, 2025.The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam +3 more
wiley +1 more source
Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices
Open MathematicsThis article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras +1 more
doaj +1 more source
Refinements of Hermite-Hadamard type inequalities for operator convex functions
, 2013 The purpose of this paper is to present some new versions of Hermite-Hadamard type inequalities for operator convex functions. We give refinements of Hermite-Hadamard type inequalities for convex functions of self-adjoint operators in a Hilbert space ...
Vildan Bacak, Ramazan Türkmen
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Mathematical Inequalities & Applications, 2019 For positive real numbers a and b , the weighted power mean Pt,q(a,b) and the weighted Heron mean Kt,q(a,b) are defined as follows: For t ∈ [0,1] and q ∈ R , Pt,q(a,b) = {(1− t)aq + tbq} q and Kt,q(a,b) = (1− q)a1−tbt + q{(1− t)a+ tb} .
Masatoshi Ito
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Inequalities for the λ-weighted mixed arithmetic-geometric-harmonic means of sector matrices
, 2020 In this note, we first explain a minor error in the literature [3]. Secondly, we prove the λ -weighted mixed arithmetic-geometric-harmonic-mean inequalities of A and B which are the generalizations of the results already introduced in [3].
Song Lin, Xiaohui Fu
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An Operator Extension of Čebyšev Inequality
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 Some operator inequalities for synchronous functions that are related to the čebyšev inequality are given. Among other inequalities for synchronous functions it is shown that ∥ø(f(A)g(A)) - ø(f(A))ø(g(A))∥ ≤ max{║ø(f2(A)) - ø2(f(A))║, ║ø)G2(A)) - ø2(g(A))
Moradi Hamid Reza +2 more
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