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Some norm and operator inequalities to improved AM-GM inequality with Specht’s ratio

Elham Nikzat

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

E-mail Address: elhamnikzat@yahoo.com

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and

Mohsen Erfanian Omidvar

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

E-mail Address: math.erfanian@gmail.com

Corresponding author.

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https://doi.org/10.1142/S179355712250036XCited by:0 (Source: Crossref)

Abstract

In this paper, we present a refinement of the well-known arithmetic-geometric mean inequality. As application of our result, we obtain an operator inequality. We give an improvement of the inequality presented by Kittaneh for the numerical radius.

Communicated by J. Pecaric

Keywords:

AMSC: 47A12, 47A30, 47A63

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