Bounds for classical polynomials derivable by matrix methods
Joel L. Brenner · Proceedings of the American Mathematical Society · 1971
For a matrix with dominant diagonal, convenient upper and lower bounds for the determinant are available. Such bounds occur in the work of Price, Ostrowski, Hoffman, Haynsworth, and Brenner. In this article, the inequalities are used to bound the classical polynomials over a range of values of the argument.