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Polynomial interpolation problem for skew polynomials
dc.creator | Erić, Aleksandra | |
dc.date.accessioned | 2019-04-19T14:11:55Z | |
dc.date.available | 2019-04-19T14:11:55Z | |
dc.date.issued | 2007 | |
dc.identifier.issn | 1452-8630 | |
dc.identifier.uri | https://grafar.grf.bg.ac.rs/handle/123456789/161 | |
dc.description.abstract | Let R = K[x;δ] be a skew polynomial ring over a division ring K. We introduce the notion of derivatives of skew polynomial at scalars. An analogous definition of derivatives of commutative polynomials from K[x] as a function of K[x] → K[x] is not possible in a non-commutative case. This is the reason why we have to define the derivative of a skew polynomial at a scalar. Our definition is based on properties of skew polynomial rings, and it makes possible some useful theorems about them. The main result of this paper is a generalization of polynomial interpolation problem for skew polynomials. We present conditions under which there exists a unique polynomial of a degree less then n which takes prescribed values at given points xi Є K (1 ≤ n). We also discuss some kind of Silvester-Lagrange skew polynomial. | en |
dc.publisher | Univerzitet u Beogradu - Elektrotehnički fakultet, Beograd i Akademska misao, Beograd | |
dc.rights | openAccess | |
dc.source | Applicable Analysis and Discrete Mathematics | |
dc.subject | interpolation | en |
dc.subject | skew polynomials | en |
dc.title | Polynomial interpolation problem for skew polynomials | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 414 | |
dc.citation.issue | 2 | |
dc.citation.other | 1(2): 403-414 | |
dc.citation.spage | 403 | |
dc.citation.volume | 1 | |
dc.identifier.doi | 10.2298/AADM0702403E | |
dc.identifier.fulltext | https://grafar.grf.bg.ac.rs//bitstream/id/3589/159.pdf | |
dc.identifier.scopus | 2-s2.0-78650939388 | |
dc.identifier.wos | 000207680700009 | |
dc.type.version | publishedVersion |