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Über die Existenz von Minima konvexer Funktionen. (German) Zbl 0295.46012


MSC:

46A20 Duality theory for topological vector spaces
26A51 Convexity of real functions in one variable, generalizations
52A40 Inequalities and extremum problems involving convexity in convex geometry
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References:

[1] Dieter, U.: Optimierungsaufgaben in topologischen Vektorräumen I: Dualitätstheorie. Z. f. W.5, 89-117 (1966). · Zbl 0147.38601 · doi:10.1007/BF00536646
[2] Dunford, N., andJ. T. Schwartz: Linear Operators, Part I. New York: Interscience Publishers Inc. 1958. · Zbl 0084.10402
[3] Holmes, R. B.: A Course on Optimization and Best Approximation. Berlin-Heidelberg-New York: Springer. 1972. · Zbl 0235.41016
[4] Robertson, A. P. undRobertson, W.: Topologische Vektorräume. Mannheim: B. I. 1967. · Zbl 0164.43001
[5] Singer, I.: Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces. Berlin-Heidelberg-New York: Springer. 1970. · Zbl 0197.38601
[6] Stoer, J., andC. Witzgall: Convexity and Optimization in Finite Dimensions I. Berlin-Heidelberg-New York: Springer. 1970. · Zbl 0203.52203
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