This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day.

This book provides comprehensive information on the main aspects of Bernstein operators, based on the literature to date. In addition, it highlights new material, including several results (with proofs) appearing in a book for the first time.