Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means | Zendy

Lucio R. Berrone | Zendy

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Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means

Author(s) -

Lucio R. Berrone

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.2895

Subject(s) - mathematics , cauchy distribution , variable (mathematics) , cauchy's integral formula , expression (computer science) , cauchy's convergence test , representation (politics) , value (mathematics) , cauchy problem , cauchy's integral theorem , cauchy principal value , pure mathematics , initial value problem , cauchy boundary condition , mathematical analysis , statistics , computer science , boundary value problem , politics , political science , law , programming language , free boundary problem

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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