paper

Discrete Laguerre-Sobolev expansions: A Cohen type inequality

arXiv:1107.0832 · doi:10.1016/j.jmaa.2011.06.036

Abstract

C. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appropriate weighted 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. Marcellán.

Accepted in J. Math. Anal. Appl

Discrete Laguerre-Sobolev expansions: A Cohen type inequality · wovepaper