论文信息 - Weighted approximation of functions with singularities by combinations of Bernstein operators - 字舞流文

Weighted approximation of functions with singularities by combinations of Bernstein operators

We introduce a new type of combinations of Bernstein operators, which can be used to approximate the functions with singularities. The direct and inverse results of the weighted approximation of this new type combinations are given.

Dansheng Yu | Dansheng Yu

[1] Gengsheng Zhang,et al. Pointwise weighted approximation by Bernstein operators , 2003 .

[2] Z. Ditzian,et al. A global inverse theorem for combinations of Bernstein polynomials , 1979 .

[3] George G. Lorentz,et al. Inverse Theorems for Bernstein Polynomials , 1997 .

[5] V. Totik,et al. Moduli of smoothness , 1987 .

[6] Ding-Xuan Zhou,et al. On Smoothness Characterized by Bernstein Type Operators , 1995 .

[7] Linsen Xie. The saturation class for linear combinations of Bernstein operators , 2008 .

[8] Zhanjie Song,et al. Pointwise Approximation for Linear Combinations of Bernstein Operators , 2000 .

[9] P. Butzer. Linear Combinations of Bernstein Polynomials , 1953, Canadian Journal of Mathematics.

[10] Linsen Xie,et al. Pointwise simultaneous approximation by combinations of Bernstein operators , 2005, J. Approx. Theory.