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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Main Author:	Lucio R. Berrone
Format:	Article
Language:	English
Published:	Hindawi Limited 2005-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/IJMMS.2005.2895

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spelling	doaj-123d992d84e444f08ebe0af4d6ce72a82020-11-25T00:23:43ZengHindawi LimitedInternational 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Lucio R. Berrone
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
author_facet	Lucio R. Berrone
author_sort	Lucio R. Berrone
title	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_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_sort	invariance of the cauchy mean-value expression with an application to the problem of representation of cauchy means
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	2005-01-01
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.
url	http://dx.doi.org/10.1155/IJMMS.2005.2895
work_keys_str_mv	AT luciorberrone invarianceofthecauchymeanvalueexpressionwithanapplicationtotheproblemofrepresentationofcauchymeans
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Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means

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