Refinements of numerical radius inequalities using the Kantorovich ratio-Reference-Cited by-同舟云学术

Refinements of numerical radius inequalities using the Kantorovich ratio

Published:2022-01-01 Issue:1 Volume:9 Page:70-74
ISSN:2299-3282
Container-title:Concrete Operators
language:en
Short-container-title:

Author:

Nikzat Elham¹,Omidvar Mohsen Erfanian¹

Affiliation:

1. Department of Mathematics , Mashhad Branch, Islamic Azad University , Mashhad , Iran

Abstract

Abstract In this paper, we improve some numerical radius inequalities for Hilbert space operators under suitable condition. We also compare our results with some known results. As application of our result, we obtain an operator inequality.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/conop-2022-0128/pdf

Reference11 articles.

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3. [3] F. Kittaneh, Numerical radius inequalities for Hilbert space operators, Publ. Studia Math. 168 (2005), 73–80.

4. [4] F. Kittaneh, A numerical radius inequality and estimate for the numerical radius of the Frobenius companion matrix, Studia Math, 158 (2003), 11–17.

5. [5] F. Kubo and T. Ando, Means of positive linear operators, J. Math. Ann. 246 (1980), 205-224.

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