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Existenz- und Dualit
tsaussagen f
r lineare optimierungsprobleme in reflexiven banach-Rumen
Author:
Fredi Tr
ltzsch a
ltzsch a
| Affiliation: | a Sektion Mathematik, Bergakademie Freiberg, Freiberg |
DOI:
10.1080/02331887508801268
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
PDF
(English)
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Abstract
In this work pairs of dual linear programming problems in reflexive BANACH spaces with linear continuous operators in the constraints are treated. Sufficient conditions for the existence of optimal solutions and the duality relation are given. These general conditions are used for the investigation of linear problems in Lp-spaces with weak singular FREDHOLM integral operators. Another example deals with problems in the product space Lp
 Rm.
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