Piecewise polynomial and spline approximation

Abstract EN

Let sE.

Cr-1 [— 1, 1] be a spline of order k, on the interval [— 1, 1], and v= 1, 2, 3.

We estimate the degree of spline approximation of s by peceiwise polynomial of degree < n.

In our second result of this paper we show that inverse theorem interims of higher moduli of smoothness.