Discrete Laguerre-Sobolev expansions: A Cohen type inequality

TL;DR

This paper extends Cohen type inequalities to discrete Laguerre-Sobolev expansions with multiple mass points, broadening the scope of classical Laguerre expansion results in weighted L^p spaces.

Contribution

It introduces a Cohen type inequality for Fourier expansions using discrete Laguerre-Sobolev orthonormal polynomials with finite mass points, extending previous work.

Findings

Established Cohen type inequality for discrete Laguerre-Sobolev expansions.

Extended classical Laguerre expansion results to Sobolev orthogonal polynomials.

Generalized previous inequalities to include multiple mass points.

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. Marcell\'an.