Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials

Purpose In this paper, the authors take first step in study of constructive methods by using Sobolev polynomials. Design/methodology/approach To do that, use connection formulas between polynomials and classical Laguerre polynomials, as well well-known Fourier coefficients for these latter. Findings Then, compute explicit some families Laguerre–Sobolev type orthogonal over a finite interval. The also describe an oscillatory region each case reasonable choice approximation purposes. Originality/value order to paper deals with certain respect inner product. As far know, particular problem has not been addressed existing literature.