@article {IOPORT.00966723,
    author       = {Budkina, Natalia},
    title        = {On a method of solving a smoothing problem.},
    year         = {1996},
    journal      = {Proceedings of the Estonian Academy of Sciences. Physics, Mathematics},
    volume       = {45},
    number       = {2-3},
    issn         = {1406-0086},
    pages        = {178-186},
    publisher    = {Estonian Academy Publishers, Tallinn},
    abstract     = {The author proposes a new method for the approximation of functions. The first section of the paper includes an enunciation of the problem (conditional minimization of smoothing functional in the Sobolev space) and a brief description of interpolating and smoothing splines. The contents of the paper follows with the ``Auxiliary problem'', which reduces the initial problem to an auxiliary one of unconditional minimization and proves the existence and uniqueness of a natural spline $s_\alpha$ satisfying certain conditions. The main result consists of the ``Connection equation'' and it proves that the spline $s_\alpha$ gives the unique solution of the basic problem. Finally, the whole algorithm for solving the problem in the particular case of partial smoothing is presented.},
    reviewer     = {I.Grosu (Ia\c{s}i)},
    identifier   = {00966723},
}