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A Cohen type inequality for Laguerre-Sobolev expansions

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URI: http://hdl.handle.net/10016/6047
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.11.052
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cohen_marcellan_jmaa_2009_ps.pdf (190.94 KB)
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2009-04-15
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Elsevier
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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].
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10 pages, no figures.-- MSC2000 codes: 42C05, 42C10.
MR#: MR2501934 (2010a:42093)
Zbl#: Zbl 1160.42312
Keywords
Laguerre polynomials, Laguerre–Sobolev type polynomials, Cohen type inequality
Bibliographic citation
Journal of Mathematical Analysis and Applications, 2009, vol. 352, n. 2, p. 880-889
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