On the Approximative Properties of Fourier Series in Laguerre–Sobolev Polynomials

Considering the approximation of a function  $ f $ from a Sobolev spaceby the partial sums of Fourier series in a system of Sobolev orthogonal polynomialsgenerated by classical Laguerre polynomials,we obtain an estimate for the convergence rate of the partial sums to  $ f $ .