Bernstein算子的逼近

Approximation by Bernstein Operators

中文关键词:  Bernstein算子  线性组合  光滑模

英文关键词:Bernstein operators  linear combinations  modulus of smoothness.

中文摘要:

      本文利用点态光滑模ωφλ2r(f,t)研究了Bernstein算子的r阶线性组合的点态逼近.当1-1/r≤λ≤1时,用ωφλ2r(f,t)给出了—个点态逼近等价定理.且用反例说明了当0≤λ<1-1/r 时,此结论不成立.但若限制0<αφλ2r(f,t)给出

英文摘要:

      Using the pointwise modulus ωφλ2r(f, t), we discuss the approximation theorem for the r order linear combinations of Bernstein-Durrmerer operators. When 1-1/r≤λ≤1, we give an equivalent theorem by ωφλ