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On the intersection of two-parameter mean value families
Author(s):
Horst
Alzer;
Stephan
Ruscheweyh
Journal:
Proc. Amer. Math. Soc.
129
(2001),
2655-2662.
MSC (2000):
Primary 26B99;
Secondary 30B10, 30B40, 30D30, 33C05
Posted:
February 9, 2001
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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).
References:
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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:
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
Posted:
February 9, 2001
Communicated by:
David Preiss
Copyright of article:
Copyright
2001,
American Mathematical Society
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