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math.FA2018★ 1 cited
A sharper bound for the Jensen's operator inequality
Hamid Reza Moradi, Shigeru Furuichi, Mohammed Sababheh
The primary goal of this paper is to improve the operator version of Jensen inequality. As an application, we provide an improvement for the celebrated Ando's inequality. Additiona…
math.FA2018
New inequalities for the generalized Karcher mean
Mohammed Sababheh, Hamid Reza Moradi, Zahra Heydarbeygi
Recently, Pálfia introduced a generalized Karcher mean as a solution of an operator equation. In this article, we present several relations for this new mean. In particular, we inv…