A higher order Sobolev-type inner product for orthogonal polynomials in several variables
- Herbert Dueñas,
- Luis E. Garza,
- Miguel Piñar
- Universidad Nacional de Colombia,
- Universidad de Colima,
- University of Granada
Research Output:
Contribution to journal
Article
Peer-reviewPublication metrics
Metrics
SciVal
Citations
2
SciVal
FWCI
0.19
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Author count
3
SciVal
Paper percentile
39
Abstract
We consider polynomials in several variables orthogonal with respect to a Sobolev-type inner product, obtained from adding a higher order gradient evaluated in a fixed point to a standard inner product. An expression for these polynomials in terms of the orthogonal family associated with the standard inner product is obtained. A particular case using polynomials in the unit ball is analyzed, and some asymptotic results are derived.
Publication Information
Output type
Research Output:
Contribution to journal
Article
Peer-reviewOriginal language
EnglishPages from-to (Number of pages)
Pages 35-46 (12 pages)Journal (Volume, Issue Number)
Numerical Algorithms (Volume 68, Issue 1)Publication milestones
- Published - 01/01/2015
Publication status
Published - 01/01/2015
ISSN
1017-1398Publication IDs
- Scopus: 84957944584
Funding Details
This work was finished during the stay of M. Piñar at the Universidad Nacional of Colombia, with the financial support of the Facultad de Ciencias and Departamento de Matemáticas from the Universidad Nacional of Colombia, Sede Bogotá. The work of L. Garza has been supported by Conacyt grant No. 156668. The work of M. Pinar was partially supported by Ministerio de Ciencia e Innovación of Spain through the grant MTM2011-28952-C02-02, and Junta de Andaluca FQM-0229 and P11-FQM-7276. The authors thank the anonymous referee for his/her comments. They greatly improved the presentation of this manuscript.
FundersFunding numbers
UNAL
-CONACYT
156668
MICINN
MTM2011-28952-C02-02
Junta de Andalucía
FQM-0229, P11-FQM-7276