scholarly journals Kantorovich type operator inequalities for Furuta inequality

2007 ◽  
pp. 143-152
Author(s):  
Yuki Seo
Keyword(s):  
Type Operator ◽  
Operator Inequalities ◽  
Furuta Inequality

scholarly journals Some Operator Inequalities on Chaotic Order and Monotonicity of Related Operator Function

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Changsen Yang ◽  
Yanmin Liu
Keyword(s):  
Operator Function ◽  
Type Operator ◽  
Operator Inequalities ◽  
Furuta Inequality ◽  
Related Operator

We will discuss some operator inequalities on chaotic order about several operators, which are generalization of Furuta inequality and show monotonicity of related Furuta type operator function.

scholarly journals Kantorovich type operator inequalities via the Specht ratio

2004 ◽  
Vol 377 ◽  
pp. 69-81 ◽  
Author(s):  
Jun Ichi Fujii ◽  
Yuki Seo ◽  
Masaru Tominaga
Keyword(s):  
Type Operator ◽  
Operator Inequalities

Reverse Jensen-Mercer Type Operator Inequalities

2016 ◽  
Vol 31 ◽  
pp. 87-99 ◽  
Author(s):  
Ehsan Anjidani ◽  
Mohammad Reza Changalvaiy
Keyword(s):  
Hilbert Space ◽  
Selfadjoint Operator ◽  
Type Operator ◽  
Operator Inequalities ◽  
Linear Map ◽  
Positive Linear Map

Let $A$ be a selfadjoint operator on a Hilbert space $\mathcal{H}$ with spectrum in an interval $[a,b]$ and $\phi:B(\mathcal{H})\rightarrow B(\mathcal{K})$ be a unital positive linear map, where $\mathcal{K}$ is also a Hilbert space. Let $m,M\in J$ with $m

Characterization of chaotic order and its applications to furuta's type operator inequalities

1998 ◽  
Vol 43 (4) ◽  
pp. 339-349 ◽  
Author(s):  
Masatoshi Fujii ◽  
Jian Fei Jiang ◽  
Eizaburo Kamei
Keyword(s):  
Type Operator ◽  
Operator Inequalities

Operator Inequalities Related to Q-Class Functions

2015 ◽  
Vol 65 (1) ◽  
Author(s):  
Mohsen Kian ◽  
Mohammad Sal Moslehian
Keyword(s):  
Type Operator ◽  
Operator Inequalities

AbstractWe study the operator Q-class functions, present some Hermite- Hadamard inequalities for operator Q-class functions and give some Kantorovich and Jensen type operator inequalities involving Q-class functions

scholarly journals External Jensen-type operator inequalities via superquadraticity

2020 ◽  
pp. 31-31
Author(s):  
Mohsen Kian ◽  
Mario Krnic ◽  
Mohsen Delavar
Keyword(s):  
Type Operator ◽  
Jensen Inequality ◽  
Operator Inequalities ◽  
Superquadratic Functions ◽  
Adjoint Operators ◽  
External Form

In this paper we establish several Jensen-type operator inequalities for a class of superquadratic functions and self-adjoint operators. Our results are given in the so-called external form. As an application, we give improvements of the H?lder?McCarthy inequality and the classical discrete and integral Jensen inequality in the corresponding external forms. In addition, the established Jensen-type inequalities are compared with the previously known results and we show that our results provide more accurate estimates in some general settings.

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