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arXiv · 1812.06244

On maximally oscillating perfect splines and some of their extremal properties

Oleg Kovalenko
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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.

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Oleg Kovalenko. 2018-12-15. On maximally oscillating perfect splines and some of their extremal properties. https://doi.org/10.1007/s10476-020-0037-7

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