Diamond-alpha Polynomial Series on Time Scales
| dc.creator | Mozyrska, Dorota | |
| dc.creator | Torres, Delfim F. M. | |
| dc.date | 2008-05-02 | |
| dc.date.accessioned | 2026-07-07T10:01:35Z | |
| dc.date.available | 2026-07-07T10:01:35Z | |
| dc.description | The objective of this paper is twofold: (i) to survey existing results of generalized polynomials on time scales, covering definitions and properties for both delta and nabla derivatives; (ii) to extend previous results by using the more general notion of diamond-alpha derivative on time scales. We introduce a new notion of combined-polynomial series on a time scale, as a convex linear combination of delta and nabla generalized series. Main results are formulated for homogenous time scales. As an example, we compute diamond-alpha derivatives on time scales for delta and nabla exponential functions. | |
| dc.description | Accepted to the 8th Portuguese Conference on Automatic Control -- CONTROLO'2008, 21 to 23 July 2008, UTAD University, Vila Real, Portugal | |
| dc.identifier | https://arxiv.org/abs/0805.0274 | |
| dc.identifier | http://arxiv.org/abs/0805.0274 | |
| dc.identifier | Int. J. Math. Stat. 5 (2009), No. A09, 92--101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168675 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 40C99; 39A13; 40A30 | |
| dc.title | Diamond-alpha Polynomial Series on Time Scales | |
| dc.type | text |