Extremal Decomposition of the Complex Plane with Free Poles II

Problems on extremal decomposition of the complex plane with free poles located on an ( n;m )-ray system of points are studied. A method that allowed us to obtain new upper bounds for the maximum of the products of the inner radii of mutually non-overlapping domains is proposed.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-05, Vol.246 (5), p.602-616
Hauptverfasser:	Bakhtin, Aleksandr K., Denega, Iryna V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Decomposition Mathematics Mathematics and Statistics Upper bounds
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Beschreibung
Zusammenfassung:	Problems on extremal decomposition of the complex plane with free poles located on an ( n;m )-ray system of points are studied. A method that allowed us to obtain new upper bounds for the maximum of the products of the inner radii of mutually non-overlapping domains is proposed.
ISSN:	1072-3374 1573-8795
DOI:	10.1007/s10958-020-04766-5