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On the equality of quasi-arithmetic and Lagrangian means
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2011, Vol. 382 Issue 1, p86-96. 11p. - Publication Year :
- 2011
-
Abstract
- Abstract: The paper deals with the equality problem of quasi-arithmetic and Lagrangian means which is to determine all pairs of continuous strictly monotone functions such that, for all , holds. The main result of the paper shows that there are 6 different cases of equality. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 382
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 60769495
- Full Text :
- https://doi.org/10.1016/j.jmaa.2011.04.033