Approximation properties of partial Fourier series and their de La Vallee Poussin means in the system of Meixner–Sobolev polynomials

The report is devoted to the problem of approximating a function from the space $W^r_{l^2_{w}(\Omega_\delta)}$, $w(x)=e^{-x}(1-e^{-\delta})$ using partial Fourier series and their de La Vallee Poussin means by the system of polynomials, orthonormal in the sense of Sobolev and generated by the system of modified Meixner polynomials.