On Hermite-Birkhoff Interpolation

Abstract

Let k and n be riatural numbers and let E=‖ ∈ ij ‖, ( i=1,…k;j=0,1,…,n−1 ), $$ E = \left\| {{ \in _{ij}}} \right\|,\quad \left( {i = 1, \ldots k;j = 0,1, \ldots ,n - 1} \right), $$ be a matrix with k rows and n columns having elements ∈ ij =0 or 1, $$ { \in _{ij}} = 0\quad or\quad 1, $$ which are such that ∑ i,j ∈ ij =n. $$ \sum\limits_{i,j} {{ \in _{ij}}} = n. $$ .