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.