Papers by mohsen shah hosseini
Iranian Journal of Science and Technology Transaction A-science, 2021
In this paper, we first provide a better estimate of the second inequality in Hermite-Hadamard in... more In this paper, we first provide a better estimate of the second inequality in Hermite-Hadamard inequality. Next, we study the reverse of the celebrated Davis-Choi-Jensen's inequality. Our results are employed to establish a new bound for the operator Kantorovich inequality.
Journal of Mathematical Extension, 2020
This paper is mainly devoted to studying operator Jensen inequality. More precisely, a new genera... more 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 discussed as well.
Issues of Analysis, 2020
In this paper, we introduce some inequalities between the operator norm and the numerical radius ... more In this paper, we introduce some inequalities between the operator norm and the numerical radius of adjointable operators on Hilbert *-module spaces. Moreover, we establish some new refinements of numerical radius inequalities for Hilbert space operators. More precisely, we prove that if β () and min (οΈ β + * β 2 2 , β β * β 2 2)οΈ β€ max (οΈ inf β β=1 β β 2 , inf β β=1 β * β 2)οΈ , then β ββ€ β 2 (); this is a considerable improvement of the classical inequality β ββ€ 2 ().
Mathematica Slovaca, 2020
We give an alternative lower bound for the numerical radii of Hilbert space operators. As a by-pr... more We give an alternative lower bound for the numerical radii of Hilbert space operators. As a by-product, we find conditions such that $$\begin{array}{} \displaystyle \omega\left(\left[\begin{array}{cc} 0 & R \\ S & 0 \end{array}\right]\right)=\frac{\Vert R \Vert +\Vert S\Vert }{2} \end{array}$$ where R, S β πΉ(π).
AIMS Mathematics, 2020
The main purpose of this paper is to discuss operator Jensen inequality for convex functions, wit... more The main purpose of this paper is to discuss operator Jensen inequality for convex functions, without appealing to operator convexity. Several variants of this inequality will be presented, and some applications will be shown too.
Mathematica Slovaca, 2018
In this paper, we present several numerical radius inequalities for Hilbert space operators. More... more In this paper, we present several numerical radius inequalities for Hilbert space operators. More precisely, we prove if $ T,U\in\mathbb{B}\left(\mathcal{H}\right) $ such that U is unitary, then $$\displaystyle\omega(TU\pm U^{*}T)\leq 2\sqrt{\omega(T^{2})+\|T\pm T^{*}\|^{2}}. $$ Also, we have compared our results with some known outcomes.
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Papers by mohsen shah hosseini