ABSTRACT
For convenience we introduce the following notations. We denote by xk(= xkm) the nonnegative zeros of pm(w) (x0 = 0 if m is odd) and we set x−k = −xk, 0 ≤ k ≤
] . With f ∈ C0(R), let
Lm(w, f, x) = [m2 ]∑
k=−[m2 ] lk(x)f(xk), lk(x) =
pm(w, x) p′m(w, xk)(x− xk)
be the Lagrange polynomial interpolating the function f on the knots xk.