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On the characteristic properties of certain optimization problems in complex analysis

Józef BaranowiczLeon Mikołajczyk — 1995

Banach Center Publications

We shall be concerned in this paper with an optimization problem of the form: J(f) → min(max) subject to f ∈ 𝓕 where 𝓕 is some family of complex functions that are analytic in the unit disc. For this problem, the question about its characteristic properties is considered. The possibilities of applications of the results of general optimization theory to such a problem are also examined.

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