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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the intersection of two-parameter mean value families


Authors: Horst Alzer and Stephan Ruscheweyh
Journal: Proc. Amer. Math. Soc. 129 (2001), 2655-2662
MSC (2000): Primary 26B99; Secondary 30B10, 30B40, 30D30, 33C05
Published electronically: February 9, 2001
MathSciNet review: 1838789
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Abstract:

We determine all means which are in the intersection of two multivariable two-parameter mean value families. These families were introduced by C. Gini (1938) and K.B. Stolarsky (1975).


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Additional Information

Horst Alzer
Affiliation: Morsbacher Str. 10, 51545 Waldbröl, Germany
Email: alzer@wmax03.mathematik.uni-wuerzburg.de

Stephan Ruscheweyh
Affiliation: Department of Mathematics, University of Würzburg, Am Hubland, 97074 Würzburg, Germany
Email: ruscheweyh@mathematik.uni-wuerzburg.de

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06050-6
PII: S 0002-9939(01)06050-6
Keywords: Gini means, Stolarsky means, hypergeometric function
Received by editor(s): January 10, 2000
Published electronically: February 9, 2001
Communicated by: David Preiss
Article copyright: © Copyright 2001 American Mathematical Society