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| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.provenance | CONICET | - |
| dc.creator | Berrone, Lucio Renato | - |
| dc.date | 2017-02-24T19:08:23Z | - |
| dc.date | 2017-02-24T19:08:23Z | - |
| dc.date | 2015-11 | - |
| dc.date | 2017-02-23T13:54:06Z | - |
| dc.date.accessioned | 2019-04-29T15:36:31Z | - |
| dc.date.available | 2019-04-29T15:36:31Z | - |
| dc.date.issued | 2015-11 | - |
| dc.identifier | Berrone, Lucio Renato; P-means and the solution of a functional equation involving Cauchy differences; Springer; Results In Mathematics; 68; 3; 11-2015; 375–393 | - |
| dc.identifier | 1422-6383 | - |
| dc.identifier | http://hdl.handle.net/11336/13390 | - |
| dc.identifier | 1420-9012 | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/297657 | - |
| dc.description | Solutions to the functional equation f(x+y)−f(x)−f(y)=2f(Φ(x,y)),x,y>0, are sought for the admissible pairs (f,Φ)(f,Φ) constituted by a strictly monotonic function f and a strictly increasing in both variables mean ΦΦ . A related class of means, P-means, is introduced, studied and then employed in solving (1) under additional hypotheses on ΦΦ . For instance, Ger has proved that the unique P-mean which is also quasiarithmetic is the geometric mean G(x,y)=xy−−√G(x,y)=xy . An elementary proof to this result is given in this paper. Moreover, as a consequence of a fundamental result on the uniqueness of representation of P-means it is proved that the geometric mean G is the unique homogeneous P-mean. | - |
| dc.description | Fil: Berrone, Lucio Renato. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingenieria y Agrimensura. Escuela de Ingenieria Electrónica. Laboratorio de Acústica y Electroacústica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Cientifico Tecnológico Rosario; Argentina | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | Springer | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00025-015-0446-2 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00025-015-0446-2 | - |
| dc.rights | info:eu-repo/semantics/restrictedAccess | - |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | - |
| dc.source | reponame:CONICET Digital (CONICET) | - |
| dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
| dc.source | instacron:CONICET | - |
| dc.source.uri | http://hdl.handle.net/11336/13390 | - |
| dc.subject | Functional equations | - |
| dc.subject | Cauchy difference | - |
| dc.subject | Means | - |
| dc.subject | P-means | - |
| dc.subject | Matemática Pura | - |
| dc.subject | Matemáticas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | P-means and the solution of a functional equation involving Cauchy differences | - |
| dc.type | info:eu-repo/semantics/article | - |
| dc.type | info:eu-repo/semantics/publishedVersion | - |
| dc.type | info:ar-repo/semantics/articulo | - |
| Aparece en las colecciones: | CONICET | |
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