Note on a Bounding Technique for Polynomial Functions
Jürgen P. Herzberger · SIAM Journal on Applied Mathematics · 1978
In a recent paper by M. A. Crane [2] a technique is presented for bounding a polynomial function $g( x )$ having unknown coefficients. The upper and lower bounds for g are found to be piecewise-polynomials. We point out that a simple and easy-to-compute interval-expression gives the same result as the proposition in [2]. Direct generalizations to Hermite interpolation are possible.