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)