Full paper in PDF:
$%M. Gasca, Spline functions and total positivity, Rev. Mat. Univ. Complut. Madrid 9 (1996), supplementary, 125–139.%$

Spline Functions and Total Positivity
Mariano GASCA
Departamento de Matemática Aplicada
Facultad de Ciencias
Universidad de Zaragoza
50009 Zaragoza — Spain

Received: May 23, 1996
 
Dedicado al Profesor Baltasar Rodríguez-Salinas,
maestro de tantos matemáticos españoles,
con admiración y afecto
ABSTRACT

In this survey we show the close connection between the theory of Spline Functions and that of Total Positivity. In the last section we mention some recent results on totally positive bases which are optimal for shape preserving properties in Computer Aided Geometric Design.

1991 Mathematics Subject Classification: 41A15.