A modification of the Whittaker-Kotelnikov-Shannon sampling series.
An elementary proof of the inverse theorem for Bernstein polynomials.
Approximation by trigonometric polynomials in weighted Orlicz spaces
We investigate the approximation properties of the partial sums of the Fourier series and prove some direct and inverse theorems for approximation by polynomials in weighted Orlicz spaces. In particular we obtain a constructive characterization of the generalized Lipschitz classes in these spaces.