On a generalization of u-means
In this paper we present an extension of Bauer's work about u-means. We consider a kind of composition of an admissible function u(x) (described by Bauer) and of a compatible function ϕ(x). This construction allows us to define (u,ϕ)-means. When ϕ(x)=x, the (u,ϕ)-means are the u-means introduce...
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171291001072 |
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| _version_ | 1832547598093778944 |
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| author | Francois Dubeau |
| author_facet | Francois Dubeau |
| author_sort | Francois Dubeau |
| collection | DOAJ |
| description | In this paper we present an extension of Bauer's work about u-means. We consider
a kind of composition of an admissible function u(x) (described by Bauer) and of a compatible
function ϕ(x). This construction allows us to define (u,ϕ)-means. When ϕ(x)=x, the (u,ϕ)-means
are the u-means introduced by Bauer. The arithmetic, geometric and harmonic means are special
cases. |
| format | Article |
| id | doaj-art-b7ea6261ec5341728597b9b086966558 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b7ea6261ec5341728597b9b0869665582025-02-03T06:44:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114480380710.1155/S0161171291001072On a generalization of u-meansFrancois Dubeau0Département de mathématiques, Collège militaire royal de Saint-Jean, Québec, Saint-Jean-sur-Richelieu J0J 1R0, CanadaIn this paper we present an extension of Bauer's work about u-means. We consider a kind of composition of an admissible function u(x) (described by Bauer) and of a compatible function ϕ(x). This construction allows us to define (u,ϕ)-means. When ϕ(x)=x, the (u,ϕ)-means are the u-means introduced by Bauer. The arithmetic, geometric and harmonic means are special cases.http://dx.doi.org/10.1155/S0161171291001072meansu-meansgeneralized u-means. |
| spellingShingle | Francois Dubeau On a generalization of u-means International Journal of Mathematics and Mathematical Sciences means u-means generalized u-means. |
| title | On a generalization of u-means |
| title_full | On a generalization of u-means |
| title_fullStr | On a generalization of u-means |
| title_full_unstemmed | On a generalization of u-means |
| title_short | On a generalization of u-means |
| title_sort | on a generalization of u means |
| topic | means u-means generalized u-means. |
| url | http://dx.doi.org/10.1155/S0161171291001072 |
| work_keys_str_mv | AT francoisdubeau onageneralizationofumeans |