Double precision of the Jensen-type operator inequalities for bounded and Lipschitzian functions

2018 ◽  
Vol 93 (4) ◽  
pp. 669-690 ◽  
Author(s):  
Mario Krnić ◽  
Rozarija Mikić ◽  
Josip Pečarić
Keyword(s):  
Type Operator ◽  
Double Precision ◽  
Operator Inequalities ◽  
Lipschitzian Functions

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.

Mutual bounds for Jensen-type operator inequalities related to higher order convexity

2019 ◽  
Vol 93 (6) ◽  
pp. 1159-1176
Author(s):  
Mario Krnić ◽  
Rozarija Mikić ◽  
Josip Pečarić
Keyword(s):  
Higher Order ◽  
Type Operator ◽  
Operator Inequalities ◽  
Higher Order Convexity

scholarly journals Interpolating Jensen-type operator inequalities for log-convex and superquadratic functions

Filomat ◽  
2018 ◽  
Vol 32 (13) ◽  
pp. 4523-4535
Author(s):  
Mojtaba Bakherad ◽  
Mohsen Kian ◽  
Mario Krnic ◽  
Seyyed Ahmadi
Keyword(s):  
Convex Function ◽  
Convex Functions ◽  
Type Operator ◽  
Operator Inequality ◽  
Operator Inequalities ◽  
Superquadratic Functions

Motivated by some recently established Jensen-type operator inequalities related to a convex function, in the present paper we derive several more accurate Jensen-type operator inequalities for certain subclasses of convex functions. More precisely, we obtain interpolating series of Jensen-type inequalities utilizing log-convex and non-negative superquadratic functions. In particular, we obtain the corresponding refinements of the Jensen-Mercer operator inequality for such classes of functions.

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