Continued fractions built from convex sets and convex functions
| Data(s) |
01/10/2015
|
|---|---|
| Resumo |
In a partially ordered semigroup with the duality (or polarity) transform, it is pos- sible to define a generalisation of continued fractions. General sufficient conditions for convergence of continued fractions are provided. Two particular applications concern the cases of convex sets with the Minkowski addition and the polarity transform and the family of non-negative convex functions with the Legendre–Fenchel and Artstein-Avidan–Milman transforms. |
| Formato |
application/pdf |
| Identificador |
http://boris.unibe.ch/72282/1/1405.2779v4.pdf Molchanov, Ilya (2015). Continued fractions built from convex sets and convex functions. Communications in Contemporary Mathematics, 17(5), p. 1550003. World Scientific Publishing 10.1142/S0219199715500030 <http://dx.doi.org/10.1142/S0219199715500030> doi:10.7892/boris.72282 info:doi:10.1142/S0219199715500030 urn:issn:1793-6683 |
| Idioma(s) |
eng |
| Publicador |
World Scientific Publishing |
| Relação |
http://boris.unibe.ch/72282/ |
| Direitos |
info:eu-repo/semantics/openAccess |
| Fonte |
Molchanov, Ilya (2015). Continued fractions built from convex sets and convex functions. Communications in Contemporary Mathematics, 17(5), p. 1550003. World Scientific Publishing 10.1142/S0219199715500030 <http://dx.doi.org/10.1142/S0219199715500030> |
| Palavras-Chave | #510 Mathematics |
| Tipo |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion PeerReviewed |
