Spline interpolation at knot averages (Q1110012)

In 1975 de Boor made a conjecture that interpolation by splines of order k at knot averages is bounded for any k independently of the knot sequence. The author disproves this conjecture for \(k\geq 20\), choosing the case of the geometric mesh, i.e. \((t_ m)^{\infty}_{- \infty}:t_ m=q^ m\), \(q>1\). The paper is a part of the author's Ph. D. thesis.