Publication

Linear and Multilinear Algebra

Paper

# On generalizations of Schur's inequality on sums of products of differences of real numbers

## Abstract

Schur's inequality for the sum of products of the differences of real numbers states that for (Formula presented.), (Formula presented.). In this paper, we study a generalization of this inequality to more terms, more general functions of the variables and algebraic structures such as vectors and Hermitian matrices.