Discrete Laguerre-Sobolev expansions: A Cohen type inequality

Details Discrete Laguerre-Sobolev expansions: A Cohen type inequality Discrete Laguerre-Sobolev expansions: A Cohen type inequality

2011-07-05

arxiv.org/abs/1107.0832v1

Mathematics

Classical Analysis and ODEs

Accepted in J. Math. Anal. Appl

Scientific paper

10.1016/j.jmaa.2011.06.036

C. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appropriate weighted $L^{p}$ spaces. In this paper, we get a Cohen type inequality for the Fourier expansions in terms of discrete Laguerre--Sobolev orthonormal polynomials with an arbitrary (finite) number of mass points. So, we extend the result due to B. Xh. Fejzullahu and F. Marcell\'an.

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