• Generalization of Samuelson’s inequality and location of eigenvalues

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • 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


      R Sharma1 R Saini1

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

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.