On Shape Preserving Smoothing Splines

Abstracts of the 19th International Conference Mathematical Modelling and Analysis (MMA 2014) 2014
Svetlana Asmuss, Nataļja Budkina

In many approximation problems it is important that solutions preserve some shape properties such as positivity, monotonicity and/or convexity. The additional shape preserving conditions are usually considered as the positivity/negativity constraints on the derivative (or the derivatives) of approximants. Taking into account that such conditions can be described by using convex sets, we consider the generalized problem on smoothing splines in a convex set and the discretization of it.

Atslēgas vārdi
smoothing spline, discretization

Asmuss, S., Budkina, N. On Shape Preserving Smoothing Splines. No: Abstracts of the 19th International Conference Mathematical Modelling and Analysis (MMA 2014), Lietuva, Druskininkai, 26.-29. maijs, 2014. Vilnius: Vilnius Gediminas Technical University , 2014, 4.-4.lpp.

Publikācijas valoda
English (en)