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S. S. Guo, C. X. Li and X. W. Liu, “Pointwise Approximation for Linear Combinations of Bernstein Operators,” Journal of Approximation Theory, Vol. 107, No. 1, 2000, pp. 109-120. doi:10.1006/jath.2000.3504

has been cited by the following article:

• TITLE: Pointwise Approximation Theorems for Combinations of Bernstein Polynomials with Inner Singularities

  AUTHORS: Wenming Lu, Lin Zhang

  KEYWORDS: Bernstein Polynomials, Inner Singularities, Pointwise Approximation, Bernstein-Markov Inequalities, Direct and Inverse Theorems

  JOURNAL NAME: Applied Mathematics, Vol.2 No.4, March 31, 2011

  ABSTRACT: It is well-known that Bernstein polynomials are very important in studying the characters of smoothness in theory of approximation. A new type of combinations of Bernstein operators are given in [1]. In this paper, we give the Bernstein-Markov inequalities with step-weight functions for combinations of Bernstein polynomials with inner singularities as well as direct and inverse theorems.