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Some geometric extremal problems*

Published online by Cambridge University Press:  09 April 2009

Einar Hille
Einar Hille
Affiliation:
University of California, Irvine Irvine, California, U.S.A.
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In a recent study of generalized transfinite dimeters [4, 5] some geometric extremal problems were encountered. These form the subject matter of this note.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1966 , pp. 122 - 128
Copyright
Copyright © Australian Mathematical Society 1966

References

[1]van der corput, J. G. and Schaake, G., “Anwendung einer Blichfeldschen Beweismethode in der Geometrie der Zahlem”, Acta Arithmetica, 2 (1937) 152–160.CrossRefGoogle Scholar
[2]Thót, L. Fejes, “On the sum of distances determined by a point set”, Acta Mathematica Academiae Scientiarum Hungaricae, 7 (1957) 397–401.CrossRefGoogle Scholar
[3]Thót, L. Fejes, “Über eine Punktverteilung auf der kugel”, Acta Mathematica Academiae Scientiarum Hungaricae, 10 (1959) 13–19.CrossRefGoogle Scholar
[4]Hille, E., “A note on transfinite diameters”, Journal d'Analyse, Jerusalem, 14 (1965) 209–224.Google Scholar
[5]Hille, E., “Topics in classical analysis”, in Saaty, T. L., Lectures on Modern Mathematics, Volume III, Wiley, New York, 1965. See pp. 34–43.Google Scholar
[6]Schopp, J., “Simplexungleichungen”, Elemente der Mathematik, 16 (1961) 13–16.Google Scholar