# Improved Young and Heinz inequalities with the Kantorovich constant

@article{Liao2015ImprovedYA, title={Improved Young and Heinz inequalities with the Kantorovich constant}, author={Wenshi Liao and Junliang Wu}, journal={arXiv: Functional Analysis}, year={2015} }

In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant. These modified inequalities are used to establish corresponding operator inequalities on Hilbert space and Hilbert-Schmidt norm inequalities.

## 9 Citations

Improved Young and Heinz operator inequalities with Kantorovich constant

- Mathematics
- 2021

UDC 517.9
We present numerous refinements of the Young inequality by the Kantorovich constant. We use these improved inequalities to establish corresponding operator inequalities on a Hilbert space…

Operator iteration on the Young inequality

- Mathematics
- 2016

In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.…

New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant

- Mathematics, MedicineJournal of inequalities and applications
- 2017

A survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality is given.

On a Refined Operator Version of Young's Inequality and Its Reverse

- MathematicsThe Electronic Journal of Linear Algebra
- 2019

In this note, some refinements of Young's inequality and its reverse for positive numbers are proved, and using these inequalities, some operator versions and Hilbert-Schmidt norm versions for…

Multiple-Term Refinements of Young Type Inequalities

- Mathematics
- 2016

Recently, a multiple-term refinement of Young’s inequality has been proved. In this paper, we show its reverse refinement. Moreover, we will present multiple-term refinements of Young’s inequality…

Improved Jensen-type inequalities via linear interpolation and applications

- Mathematics
- 2016

In this paper we develop a general method for improving Jensen-type inequalities for convex and, even more generally, for piecewise convex functions. Our main result relies on the linear…

IMPROVEMENTS OF YOUNG INEQUALITY USING THE KANTOROVICH CONSTANT

- 2017

Some improvements of Young inequality and its reverse for positive numbers with Kantorovich constant K(t, 2) = (1+t) 4t are given. Using these inequalities some operator inequalities and…

Improved Young and Heinz operator inequalities for unitarily invariant norms

- Mathematics
- 2020

Abstract In this paper, we present numerous refinements of the Young inequality by the Kantorovich constant. We use these improved inequalities to establish corresponding operator inequalities on a…

Improved Young and Heinz Operator Inequalities with Kantorovich Constant

- Ukrainian Mathematical Journal
- 2021

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