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A Locally Convex Extremal Problem over Some Family of Complex Functions
Author(s) -
Baranowicz Józef,
Studniarski Marcin
Publication year - 1990
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19901460704
Subject(s) - mathematics , convex function , regular polygon , representation (politics) , convex analysis , convex optimization , pure mathematics , combinatorics , geometry , politics , political science , law
We shall be concerned in this paper with mathematical programming problem of the form: Φ 0 ( f ) → min subject to Φ i ( f ) ≦ 0, i = 1, 2, …, r ; f where Φ i ( f ), i = 0, 1, …, r are regularly locally convex functions is a family of complex functions that possesses an integral representation. For this problem a necessary condition for a local minimum is given.