# Some New Karamata Type Inequalities and Their Applications to Some Entropies

@article{Furuichi2019SomeNK, title={Some New Karamata Type Inequalities and Their Applications to Some Entropies}, author={Shigeru Furuichi and Hamid Reza Moradi and Akram Zardadi}, journal={Reports on Mathematical Physics}, year={2019} }

## 7 Citations

INEQUALITIES RELATED TO BEREZIN NORM AND BEREZIN NUMBER OF OPERATORS

- Mathematics
- 2022

. The Berezin symbol (cid:101) A of an operator A on the reproducing kernel Hilbert space H (Ω) over some set Ω with the reproducing kernel k λ is deﬁned by ˜ A ( λ ) = (cid:68) A (cid:98) k λ ,…

A Note on Kantorovich and Ando Inequalities.

- Mathematics, Philosophy
- 2019

The main goal of this exposition is to present further analysis of the Kantorovich and Ando operator inequalities. In particular, a new proof of Ando's inequality is given, a new non-trivial…

More accurate numerical radius inequalities (I)

- MathematicsLinear and Multilinear Algebra
- 2019

ABSTRACT In this article, we present some new general forms of numerical radius inequalities for Hilbert space operators. The significance of these inequalities follow from the way they extend and…

Operator Jensen's Type Inequalities for Convex Functions

- Mathematics
- 2020

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)…

More about operator order preserving

- MathematicsRocky Mountain Journal of Mathematics
- 2021

It is well known that increasing functions do not preserve operator order in general; nor do decreasing functions reverse operator order. However, operator monotone increasing or operator monotone…

On the Operator Jensen Inequality for Convex Functions.

- Mathematics
- 2019

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)…

On the Jensen’s inequality and its variants

- Mathematics
- 2020

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…

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