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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the intersection of two-parameter mean value families
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by Horst Alzer and Stephan Ruscheweyh PDF
Proc. Amer. Math. Soc. 129 (2001), 2655-2662 Request permission

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
  • MR Author ID: 238846
  • 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
  • Received by editor(s): January 10, 2000
  • Published electronically: February 9, 2001
  • Communicated by: David Preiss
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2655-2662
  • MSC (2000): Primary 26B99; Secondary 30B10, 30B40, 30D30, 33C05
  • DOI: https://doi.org/10.1090/S0002-9939-01-06050-6
  • MathSciNet review: 1838789