On Some Generalization of Smoothing Problems

Mathematical Modelling and Analysis 2015
Nataļja Budkina, Svetlana Asmuss

The paper deals with the generalized smoothing problem in abstract Hilbert spaces. This generalized problem involves particular cases such as the interpolating problem, the smoothing problem with weights, the smoothing problem with obstacles, the problem on splines in convex sets and others. The theorem on the existence and characterization of a solution of the generalized problem is proved. It is shown how the theorem gives already known theorems in special cases as well as some new results.

Keywords
interpolating splines | mixed splines | smoothing splines | splines in convex sets
DOI
10.3846/13926292.2015.1048756
Hyperlink
http://www.tandfonline.com/doi/abs/10.3846/13926292.2015.1048756

Budkina, N., Asmuss, S. On Some Generalization of Smoothing Problems. Mathematical Modelling and Analysis, 2015, Vol.20, Iss.3, pp.311-328. ISSN 1392-6292. Available from: doi:10.3846/13926292.2015.1048756

Publication language
English (en)