On the intersection of two-parameter mean value families-Reference-Cited by-同舟云学术

On the intersection of two-parameter mean value families

Published:2001-02-09 Issue:9 Volume:129 Page:2655-2662
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Alzer Horst,Ruscheweyh Stephan

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).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2001-129-09/S0002-9939-01-06050-6/S0002-9939-01-06050-6.pdf

Reference19 articles.

1. Encyclopedia of Mathematics and its Applications;Andrews, George E.,1999

2. Mathematics and its Applications (East European Series);Bullen, P. S.,1988

3. Gini means;Farnsworth, David;Amer. Math. Monthly,1986

4. [4] C. Gini, Di una formula comprensiva delle medie, Metron 13 (1938), 3-22.

5. Series expansions of means;Gould, H. W.;J. Math. Anal. Appl.,1984

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Extended power difference means;Acta Scientiarum Mathematicarum;2024-05-20

2. Characterizations of the equality of two-variable generalized quasiarithmetic means;Journal of Mathematical Analysis and Applications;2022-03

3. Logarithmic complementary means and an extension of Carlson's log;Mathematical Inequalities & Applications;2015

4. Asymptotic expansions and comparison of bivariate parameter means;Mathematical Inequalities & Applications;2014

5. Bilateral inequalities for means;Journal of Numerical Analysis and Approximation Theory;2013-08-01