Approximation by Smoothing Splines in Convex Sets

Abstracts of International Congress of Mathematicians (ICM 2014) 2014
Nataļja Budkina, Svetlana Asmuss

The talk deals with the conditional minimization problem, which generalizes several approximation problems. We investigate this generalized approximation problem and consider the theorem on the existence and characterization of its solutions. We show how the theorem gives already known results for the problems mentioned above and obtain new special cases.

Keywords
Variational splines, smoothing, interpolation, splines in convex sets, shape preserving approximation

Budkina, N., Asmuss, S. Approximation by Smoothing Splines in Convex Sets. In: Abstracts of International Congress of Mathematicians (ICM 2014) , Korea Republic, Seoul, 13-21 August, 2014. Seoul: 2014, pp.629-629.

Publication language
English (en)