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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6047
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| Title: | A Cohen type inequality for Laguerre-Sobolev expansions |
| Author(s): | Fejzullahu, Bujar Xh.
Marcellán, Francisco |
| Publisher: | Elsevier |
| Issued date: | 15-Apr-2009 |
| Citation: | Journal of Mathematical Analysis and Applications, 2009, vol. 352, n. 2, p. 880-889 |
| URI: | http://hdl.handle.net/10016/6047 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2008.11.052 |
| Description: | 10 pages, no figures.-- MSC2000 codes: 42C05, 42C10.
MR#: MR2501934 (2010a:42093)
Zbl#: Zbl 1160.42312 |
| Abstract: | Let introduce the Sobolev type inner product [see attached full-text file]. In this paper we prove a Cohen type inequality for the Fourier expansion in terms of the orthonormal polynomials associated with the above Sobolev inner product. In particular, for M=N=0, we extend the result of Markett [C. Markett, Cohen type inequalities for Jacobi, Laguerre and Hermite expansions, SIAM J. Math. Anal. 14 (1983) 819–833]. |
| Sponsor: | The work of the second author (FM) has been supported by Dirección General de Investigación, Ministerio de Educación y Ciencia of Spain, grant MTM2006-13000 C03-02 and Comunidad de Madrid/Universidad Carlos III de Madrid, grant CCG07-UC3M/ESP-3339. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/j.jmaa.2008.11.052 |
| Keywords: | Laguerre polynomials
Laguerre–Sobolev type polynomials
Cohen type inequality |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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