On analogue of one problem of Erdös for non-periodic splines on the real domain

V.A. Kofanov

doi:10.15421/241315

On analogue of one problem of Erdös for non-periodic splines on the real domain

V.A. Kofanov (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0003-0392-2257

Abstract

We solve the analog of some problem of Erdös about the characterization of the non-periodic spline of order r and of minimal defect, with knots at the points $$$kh$$$, $$$k\in \mathbb{Z}$$$ and fixed uniform norm that has maximal arc lens over any fixed interval.

Keywords

inequalities for splines; problem of Erdös

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