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D.X.Zhou, “On smoothness characterized by Bernstein type operators,” J. Approx Theory, vol.81, pp.303-315, 1995.

has been cited by the following article:

• TITLE: Stechkin-Marchaud Type Inequalities in Lp for Linear Combination of Bernstein-Durrmeyer Operators

  AUTHORS: Feng Guo, Meiqin Ke

  KEYWORDS: Bernstein-Durrmeyer operators; linear combination; K-functional;Stechkin-Marchaud-type inequalities; modulus of smoothness

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.2 No.4B, January 17, 2013

  ABSTRACT: In this paper, we use the equivalence relation between K-functional and modulus of smoothness, and give the Stechkin-Marchaud-type inequalities for linear combination of Bernstein-Durrmeyer operators . Moreover, we obtain the inverse result of approximation for linear combination of Bernstein-Durrmeyer operators with . Meanwhile we unify and extend some previous results.