Let
S
n
k
S_n^k
be the nonlinear spline manifold of order k and with n - k interior variable knots. We prove that all best
L
2
[
0
,
1
]
{L_2}[0,1]
approximants from
S
n
k
S_n^k
to a continuous function on [0, 1] are also continuous there. We also prove that there exists a
C
∞
[
0
,
1
]
{C^\infty }[0,1]
function with no
C
2
[
0
,
1
]
{C^2}[0,1]
best
L
2
[
0
,
1
]
{L_2}[0,1]
approximants from
S
n
k
S_n^k
.