Open AccessOn analogue of one problem of Erdös for non-periodic splines on the real domain
Author(s) -
В. А. Кофанов
Publication year - 2013
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241315
Subject(s) - mathematics , norm (philosophy) , spline (mechanical) , interval (graph theory) , characterization (materials science) , domain (mathematical analysis) , mathematical analysis , discrete mathematics , combinatorics , pure mathematics , physics , optics , political science , law , thermodynamics
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.