Some inequalities related to the moduli of smoothness of polynomials

• Jorge Bustamante ^[1]
  1. [1] Benem´erita Universidad Autónoma de Puebla
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 3, Nº. 1, 2011, págs. 1-14
• Idioma: inglés
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• Resumen

  • 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