On Smoothing Problems with One Additional Equality Condition
Mathematical Modelling and Analysis 2009
Nataļja Budkina, Svetlana Asmuss

Two problems of approximation in Hilbert spaces are considered with one additional equality condition: the smoothing problem with a weight and the smoothing problem with an obstacle. This condition is a generalization of the equality, which appears in the problem of approximation of a histogram in a natural way. We characterize the solutions of these smoothing problems and investigate the connection between them.


Keywords
smoothing problem, spline
DOI
10.3846/1392-6292.2009.14.159-168

Budkina, N., Asmuss, S. On Smoothing Problems with One Additional Equality Condition. Mathematical Modelling and Analysis, 2009, Vol.14, No.2, pp.159-168. e-ISSN 1648-3510. ISSN 1392-6292. Available from: doi:10.3846/1392-6292.2009.14.159-168

Publication language
English (en)
The Scientific Library of the Riga Technical University.
E-mail: uzzinas@rtu.lv; Phone: +371 28399196