Resumen de On a quasi-interpolating Bernstein operator

J. Szabados

• We consider a special case of the modification of Lagrange interpolation due to Bernstein. Compared to Lagrange interpolation, these operators interpolate at less points, but they converge for all continuous functions in case of the Chebyshev nodes. Upper and lower estimates for the rate of convergence are given, and the saturation problem is partially solved.