Linear method for the approximation of differentiable functions

This article is devoted to the problem of the approximation of functions in the metric of space L_p(0, 1), the s-th derivative of the functions being continuous and the (s + l)-th derivative belonging to the space L_q(0, 1), with p, q 1, by spline functions of order s with fixed almost uniform nodes.Translated from Matematicheskie Zametki, Vol. 7, No. 4, pp. 423–430, April, 1970.