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J. J. Zhang and Z. B. Xu, “Direct and Inverse Approximation Theorems with Jacobi Weight for Combinations and Higher Derivatives of Baskakov Operators,” Journal of Systems Science and Mathematical Sciences, In Chinese, Vol. 28, No. 1, 2008, pp. 30-39.

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.