From the well known theorem of G. Faber it follows that for any given matrix of nodes there exists a continuous function for which the Lagrange interpolation polynomial
L
n
[
f
,
x
]
{L_n}[f,x]
, generated by the
n
n
th row of the matrix, does not tend uniformly to
f
(
x
)
f(x)
. In this paper we shall provide analogous results for the related operator
H
n
,
3
[
f
,
x
]
{H_{n,3}}[f,x]
as defined below.