A matrix inequality Original Research Article

In this note, we prove: if (xij) is an m×n matrix with non-negative real entries, which are not all equal to 0, then for pgreater-or-equal, slanted1, the following inequality holds: image The case p=2 of our result reduces to the inequality obtained recently by H. Alzer [Linear Algebra Appl. 323 (2001) 195].