A note on variance bounds and location of eigenvalues

Rajesh Kumar Sharma, Arvind Sharma, R. Saini

Type: Article

Publication Date: 2021-01-01

Citations: 0

DOI: https://doi.org/10.7153/jmi-2021-15-07

Abstract

We discuss some extensions and refinements of the variance bounds for both real and complex numbers.The related bounds for the eigenvalues and spread of a matrix are also derived here.

Locations

Journal of Mathematical Inequalities - View - PDF
arXiv (Cornell University) - View - PDF

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Works That Cite This (0)

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Works Cited by This (10)

Action	Title	Year	Authors
+	Analytic Theory of Polynomials	2002	Q I Rahman Gerhard Schmeißer
+	The greatest distance between two characteristic roots of a matrix	1959	Alfred Brauer A. C. Mewborn
+	Variance bounds, with an application to norm bounds for commutators	2009	Koenraad M. R. Audenaert
+ PDF Chat	Inequalities of Chebyshev Type Involving Conditional Expectations	1969	C. L. Mallows Donald H. Richter
+	Lower bounds for the spread of a matrix	1985	Charles R. Johnson Ravinder Kumar Henry Wolkowicz
+	Inequalities for normal and Hermitian matrices	1957	L. Mirsky
+	Some inequalities for positive linear maps	2010	Rajendra Bhatia Rajesh Sharma
+	Bounds for eigenvalues using traces	1980	Henry Wolkowicz George P. H. Styan
+	The Advanced Theory of Statistics.	1978	G. M. Clarke M. G. Kendall A. Stuart
+	Some Bounds on the Sample Variance in Terms of the Mean and Extreme Values	2008	Rahul Sharma R Shandil S. Prasanna Devi Sharan Ram Gaurav Kapoor Neil S Barnett