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  • 标题:Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means
  • 本地全文:下载
  • 作者:Lucio R. Berrone
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2005
  • 卷号:2005
  • 期号:18
  • 页码:2895-2912
  • DOI:10.1155/IJMMS.2005.2895
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    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.

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