Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Moradi, H. R."'
In this article, we explore the celebrated Gr\"{u}ss inequality, where we present a new approach using the Gr\"{u}ss inequality to obtain new refinements of operator means inequalities. We also present several operator Gr\"{u}ss-type inequalities wit
Externí odkaz:
http://arxiv.org/abs/2009.07452
Matrix inequalities that extend certain scalar ones have been at the center of numerous researchers' attention. In this article, we explore the celebrated subadditive inequality for matrices via concave functions and present a reversed version of thi
Externí odkaz:
http://arxiv.org/abs/2004.07103
Convex functions have played a major role in the field of Mathematical inequalities. In this paper, we introduce a new concept related to convexity, which proves better estimates when the function is somehow more convex than another. In particular, w
Externí odkaz:
http://arxiv.org/abs/2003.10892
Autor:
Sababheh, M., Moradi, H. R.
The original Ando-Hiai and Golden-Thompson inequalities present comparisons for the operator geometric mean $\sharp_v$ when $0\leq v\leq 1.$ Our main target in this article is to study these celebrated inequalities for means other than the geometric
Externí odkaz:
http://arxiv.org/abs/2003.10893
In this article, we present some new inequalities for numerical radius of Hilbert space operators via convex functions. Our results generalize and improve earlier results by El-Haddad and Kittaneh. Among several results, we show that if $A\in \mathbb
Externí odkaz:
http://arxiv.org/abs/1907.06003
This paper is mainly devoted to studying operator Jensen inequality. More precisely, a new generalization of Jensen inequality and its reverse version for convex (not necessary operator convex) functions have been proved. Several special cases are di
Externí odkaz:
http://arxiv.org/abs/1905.12870
In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pe\v cari\'c method. The obtained results refine and generalize some known results. As an applicati
Externí odkaz:
http://arxiv.org/abs/1808.00285
We give an alternative lower bound for the numerical radii of Hilbert space operators. As a by-product, we find conditions such that \begin{equation*} \omega\left(\left[\begin{array}{cc} 0 & R \\ S & 0 \end{array}\right]\right)=\frac{\Vert R \Vert +\
Externí odkaz:
http://arxiv.org/abs/1805.09569
The purpose of this paper is to present some general inequalities for operator concave functions which include some known inequalities as a particular case. Among other things, we prove that if $A\in \mathcal{B}\left( \mathcal{H} \right)$ is a positi
Externí odkaz:
http://arxiv.org/abs/1711.04957
Autor:
Moradi, H. R., Furuichi, S.
We establish a reverse inequality for Tsallis relative operator entropy involving a positive linear map. In addition, we present converse of Ando's inequality, for each parameter. We give examples to compare our results with the known results by Furu
Externí odkaz:
http://arxiv.org/abs/1710.05143