Exact estimates of high-order derivatives in Sobolev spaces

T. A. Garmanova, I. A. Sheipak

The paper describes the splines $Q_{n,k}(x,a)$, which for an arbitrary point $a\in (0;1)$ and an arbitrary function $y\in {\mathring{W}}_p^n[0;1]$ set the relations $y^{(k)}(a)=\int_0^…