Methods for bounding the range of a polynomial

A class of methods for computing including estimates for the range of a polynomial over an interval is defined. The two special cases of the Bernstein form and the B-spline form are shown to be members of the class.

[1]  C. D. Boor,et al.  On Calculating B-splines , 1972 .

[2]  T. J. Rivlin.  Bounds on a polynomial , 1970 .

[3]  Rida T. Farouki,et al.  Approximation by interval Bezier curves , 1992, IEEE Computer Graphics and Applications.

[4]  R. Riesenfeld,et al.  Bounds on a polynomial , 1981 .

[5]  Jon G. Rokne,et al.  Computer Methods for the Range of Functions , 1984 .