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On the characteristic properties of certain optimization problems in complex analysis

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Baranowicz J., Mikołajczyk L.

Banach Center Publications

1995

tom 31

nr 1

61-67

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.