Extremal problems for bounded analytic functions with supplementary conditions

A. N. Kochetkov

Moscow Engineering Building Institute

Abstract: The general form of the analytic function bounded in the unit disk which maximizes the functional
$$ \biggl|\sum_{j=1}^R\sum_{i=0}^{n_j}c_{ij}f^{(i)}(\tau_j)\biggr| $$
is determined. Limitations are imposed on the function in the interior of the disk.

UDC: 517.5

Received: 20.12.1968

 English version: Mathematical Notes, 1970, 7:1, 38–41

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