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| Titel: |
POLYNOMIAL INTERPOLATION PROBLEM FOR SKEW POLYNOMIALS |
| Auteur: |
Aleksandra Lj. Erić |
| Verschenen in: |
Applicable analysis and discrete mathematics |
| Paginering: | Jaargang 1 (2007) nr. 2 pagina's 403-414 |
| Jaar: |
2007 |
| Inhoud: |
Let $R=K[x;sigma]$ 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 $K[x] ightarrow K[x]$ 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 skewpolynomials. We present conditions under which there exists a uniquepolynomial of a degree less then $n$ which takes prescribed values at given points $x_{i}in K$ ($1leqn$). We also discuss some kind of {sc Silvester-Lagrange} skew polynomial. |
| Uitgever: |
University of Belgrade and Academic Mind |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 7 van 15 gevonden artikelen
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