Splines in Convex Sets under Constraints of Two-Sided Inequality Type in a Hyperplane

Mathematical Modelling and Analysis 2008
Svetlana Asmuss, Nataļja Budkina

The problem of minimization of a smoothing functional under inequality constraints is considered in a hyperplane. The conditions of the existence of a solution are obtained and some properties of this solution are investigated. It is proved that the solution is a spline. The method for its construction is suggested.

Keywords
smoothing problem, spline, simplex method.
DOI
10.3846/1392-6292.2008.13.461-470
Hyperlink
http://www.tandfonline.com/doi/abs/10.3846/1392-6292.2008.13.461-470

Asmuss, S., Budkina, N. Splines in Convex Sets under Constraints of Two-Sided Inequality Type in a Hyperplane. Mathematical Modelling and Analysis, 2008, Vol.13, Iss.4, pp.461-470. ISSN 1392-6292. e-ISSN 1648-3510. Available from: doi:10.3846/1392-6292.2008.13.461-470

Publication language
English (en)