Interval Taylor forms
The Taylor expansion proposed by \textit{E. Hansen} [Math. Comput. 22, 374- 384 (1968; Zbl 0223.65012)] is generalized to degree m and estimates are given for the number of zero entries in the remainder. The expansion is then used to define a Taylor form for the range of a function over an interval and estimates are given for the number of interval variables replaced by real variables due to the special Taylor expansion. The Taylor form is then implemented for factorable functions. Some numerical results are given.
scientific article; zbMATH DE number 4020331