Discrete Laguerre-Sobolev expansions: A Cohen type inequality

Abstract

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. Marcellán.

Accepted in J. Math. Anal. Appl