A comparative analysis of two methods of polynomial operator interpolation in a Hilbert space

A comparative analysis of two methods of polynomial operator interpolation is performed. These methods are shown to be equivalent and, in the case of functional spaces, the efficiency of the algorithm for approximation with respect to the number of arithmetic operations is demonstrated. Translated fromObchyslyuval'na ta Prykladna Maternatyka, No. 78, 1994, pp. 49–54.