Knot insertion and totally positive systems

JOURNAL OF APPROXIMATION THEORY

卷:104

Article

Mainar, E ; Peña, JM

关键词: knot insertion;    splines;    total positivity;    generalized splines;    Tchebycheffian splines;    shape preservation;   

DOI  :  10.1006/jath.1999.3438

来源: Elsevier

【 摘 要 】

It is analyzed when a given space of Functions admits a knot insertion algorithm. Techniques related to total positivity will provide the construction of such knot insertion algorithms in a general space admitting shape preserving representations. Many examples are included. (C) 2000 Academic Press.

【 授权许可】

Free