Results 41 to 50 of about 816 (94)
H∞ interpolation constrained by Beurling–Sobolev norms
Moroccan Journal of Pure and Applied Analysis, 2023 We consider a Nevanlinna–Pick interpolation problem on finite sequences of the unit disc, constrained by Beurling–Sobolev norms. We find sharp asymptotics of the corresponding interpolation quantities, thereby improving the known estimates. On our way we
Baranov Anton, Zarouf Rachid
doaj +1 more source
Some new operator inequalities
, 2020 In this article, we present some new inequalities for positive linear mappings that can be viewed as super multiplicative inequalities. As applications, we deduce some numerical radius inequalities.
M. Sababheh +2 more
semanticscholar +1 more source
Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality
Special Matrices, 2018 In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
doaj +1 more source
, 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
semanticscholar +1 more source
, 2013 Motivated with a problem in spectroscopy, Sloane and Harwit conjectured in 1976 what is the minimal Frobenius norm of the inverse of a matrix having all entries from the interval [0, 1].
Drnovšek, Roman
core +1 more source
A note on a conjectured singular value inequality related to a linear map
, 2020 If ( A D D∗ C ) is positive semidefinite with each block n×n, Lin conjectured that s j(Φ(D)) s j(Φ(A) Φ(C)), j = 1, . . . ,n, where Φ is the linear map: D → D+(trD)In and s j(D) denotes the j -th largest singular value of the matrix D .
Junj an Yang, Lin Lu, Zhen Chen
semanticscholar +1 more source
Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
Special Matrices, 2019 In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.
Dragomir S. S.
doaj +1 more source
On the norms of an r-circulant matrix with the generalized k-Horadam numbers
, 2013 In this paper, we present new upper and lower bounds for the spectral norm of an r-circulant matrix H=Cr(Hk,0,Hk,1,Hk,2,…,Hk,n−1) whose entries are the generalized k-Horadam numbers.
Y. Yazlık, N. Taskara
semanticscholar +1 more source
Perturbation bounds for matrix functions
, 2020 In this article, we present some bounds for ||| f (A)− f (B)||| , where f is a real function and is continuously differentiable on an open interval J , |||·||| is a unitarily invariant norm, and A,B are Hermitian matrices such that the eigenvalues of A ...
M. Masoudi, A. Salemi
semanticscholar +1 more source
, 2020 An inequality for matrices that interpolates between the Cauchy-Schwarz and the arithmetic-geometric mean inequalities for unitarily invariant norms has been obtained by Audenaert. Alakhrass obtained a related result to Audenaert’s inequality using a log-
M. Al-khlyleh, Fadi Alrimawi
semanticscholar +1 more source