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 |
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Wiley
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 |
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| _version_ | 1832552412566519808 |
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| author | Lucio R. Berrone |
| author_facet | Lucio R. Berrone |
| author_sort | Lucio R. Berrone |
| collection | DOAJ |
| description | 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 and Matkowski is made and an alternative way is proposed to solve the problem of representation of two-variable Cauchy means. |
| format | Article |
| id | doaj-art-123d992d84e444f08ebe0af4d6ce72a8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-123d992d84e444f08ebe0af4d6ce72a82025-02-03T05:58:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005182895291210.1155/IJMMS.2005.2895Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy meansLucio R. Berrone0Consejo Nacional de Investigaciones Científicas y Técnicas, Departamento de Matemática, Facultad de Ciencias Exactas, Ingenieria y Agrimensura, Universidad Nacional de Rosario, Avenue Pellegrini 250, Rosario 2000, ArgentinaThe 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 and Matkowski is made and an alternative way is proposed to solve the problem of representation of two-variable Cauchy means.http://dx.doi.org/10.1155/IJMMS.2005.2895 |
| spellingShingle | Lucio R. Berrone Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means International Journal of Mathematics and Mathematical Sciences |
| title | Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means |
| title_full | Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means |
| title_fullStr | Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means |
| title_full_unstemmed | Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means |
| title_short | Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means |
| title_sort | invariance of the cauchy mean value expression with an application to the problem of representation of cauchy means |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2895 |
| work_keys_str_mv | AT luciorberrone invarianceofthecauchymeanvalueexpressionwithanapplicationtotheproblemofrepresentationofcauchymeans |