• Generalization of Samuelson’s inequality and location of eigenvalues

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/125/01/0103-0111

• # Keywords

Maximum deviation; central moments; Hermitian matrix; eigenvalues; condition number; polynomial; roots.

• # Abstract

We prove a generalization of Samuelson’s inequality for higher order central moments. Bounds for the eigenvalues are obtained when a given complex $n\times n$ matrix has real eigenvalues. Likewise, we discuss bounds for the roots of polynomial equations.

• # Author Affiliations

1. Department of Mathematics, H. P. University, Shimla 171 005, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
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• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019

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