In reply to the question of S. N. Bernstein by trigonometric interpolation polynomials
The author has constructed the trigonometric interpolation polynomials satisfying the Bernstein's requirement. He has proved that if \(f\in C_{2\pi}\) then its interpolating polynomials converge to \(f\) uniformly and on some subclass the order of approximation is the best.
scientific article; zbMATH DE number 903339