Estela L. Juárez Miguel A. Jiménez
Transformation of some mixed approximation problems by optimization methods
Preprint series: Institut fr Mathematik, Humboldt-Universitt zu Berlin (ISSN 0863-0976)

MSC:

 49-02 Research exposition (monographs, survey articles)

Abstract: This paper considers the approximation of a function in the
L²-norm subject to a constraint set defined by the sup norm.
This kind of mathematical problem arises in the petroleum industry.
It can be viewed from developments of the Karush-Kuhn-Tucker
theorem for semi-infinite programming as well as from the
multiobjective optimization approach. An extremal-feasible set
is characterized with the help of a general version of the
Chebyshev alternation theorem.
Keywords: semi-infinite optimization, Karush-Kuhn-Tucker theorem, Chebyshev alternation theorem, multi-objetive optimization