Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means
The notion of invariance under transformations (changes of coordinates) of the Cauchy mean-value expression is introduced and then used in furnishing a suitable two-variable version of a result by L. Losonczi on equality of many-variable Cauchy means. An assessment of the methods used by Losonczi an...
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2005-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2895 |