Resumen de Some inequalities related to the moduli of smoothness of polynomials

Jorge Bustamante González

• We present some inequalities related to the moduli of smoothness of trigonometric and algebraic polynomials. In the case of algebraic polynomials we consider the Ditzian-Totik type moduli of smoothness. Some inequalities are similar to the ones due to Nikolskii and Stechkin and they are also a connected with Bernstein type inequalities