On maximally oscillating perfect splines and some of their extremal properties
arXiv:1812.06244 · doi:10.1007/s10476-020-0037-7
Abstract
In this paper we study analogues of the perfect splines for weighted Sobolev classes of functions defined on the half-line. Maximally oscillating splines play important role in the solution of certain extremal problems. In particular, using these splines, we characterize the modulus of continuity of the differential operator.
arXiv commentRevised version of the article