Results 31 to 40 of about 251 (77)
Some inequalities involving operator monotone functions and operator means
, 2016 In this paper we show that if f : [0,∞) → [0,∞) is an operator monotone function and A,B are positive operators such that 0 < pA B qA , then for all α ∈ [0,1] f (A) α f (B) max{S(p),S(q)} f (A αB), where S(t) is the so called Specht’s ratio, and α is α ...
M. Ghaemi, V. Kaleibary
semanticscholar +1 more source
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
semanticscholar +1 more source
An extension of Hartfiel's determinant inequality
, 2018 Let A and B be n× n positive definite matrices, Hartfiel obtained a lower bound for det(A + B) . In this paper, we first extend his result to det(A + B +C) , where A,B and C are n× n positive definite matrices, and then show a generalization of this to ...
L. Hou, S. Dong
semanticscholar +1 more source
An interpolation of Jensen's inequality and its applications to mean inequalities
, 2018 In this paper, we show operator versions of the inequality due to Cho, Matić and Pečarić in connection to Jensen’s inequality for convex functions. As applications, we obtain an interpolation of the weighted arithmetic-geometric mean inequality for the ...
J. M. Hot, Y. Seo
semanticscholar +1 more source
Hilbert–Schmidt‐Type Radii of Operator Pairs
Journal of Function Spaces, Volume 2025, Issue 1, 2025.Let C2H be the Hilbert–Schmidt class on a complex separable Hilbert space H. In light of the recent definition of the weighted numerical radius and motivated by the definition of the Hilbert–Schmidt numerical radius of a pair of operators, we introduce the definition of the weighted Hilbert–Schmidt numerical radius of a pair of operators.
Bashar Mayyas +2 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
Concave functions of partitioned matrices with numerical ranges in a sector
, 2017 We prove two inequalities for concave functions and partitioned matrices whose numerical ranges in a sector. These complement some results of Zhang in [Linear Multilinear Algebra 63 (2015) 2511–2517].
L. Hou, D. Zhang
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
Fundamental Hlawka-like inequalities for three and four vectors
, 2020 We investigate Hlawka-like inequalities for three vectors and determine necessary and sufficient conditions such that a1 3 ∑ i=1 ‖xi‖+a2 ∑ 1 i< j 3 ∥ xi + x j ∥ ∥+a3‖x1 + x2 + x3‖ 0 is satisfied for all x1,x2,x3 in a Hlawka space.
Marius Munteanu
semanticscholar +1 more source
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