Qiiasilinearlzation and primal-dual-eelations of chebyshev-approximation i.
作者:
L. Bittner,
期刊:
Mathematische Operationsforschung und Statistik
(Taylor Available online 1972)
卷期:
Volume 3,
issue 6
页码: 431-451
ISSN:0047-6277
年代: 1972
DOI:10.1080/02331887208801099
出版商: Akademie-Verlag
数据来源: Taylor
摘要:
The present paper is concerned with the problem of approximating a given element of a linear space by a family of elements, depending on a parameter, as well as possible. Normlike convex functionals are used as measures for the quality of approximation. By means of quasilinearization of the convex approximation measure the approximation problem is transformed into a maximin. or programming problem, which is sometimes dealt with much easier. From the maximim-formulation a dual problem, replacing the primal approximation problems, is derived with the aid of a maximin-theorem of Ky Fan. New resultats on linear Chebyshev approximation with restricted parameters are obtained in this manner.
点击下载:
PDF (821KB)
返 回