关于Matsuoka算子逼近度的渐近表示

The Asymptotic Representation of the Approximate Degree for the Matsuoka Operator

中文关键词:  Masuoka算子  算子  逼近度  准左、右导数^［1］．

英文关键词:Matsuoka operator  approximate degree  per-derivate.

中文摘要:

      本文得出用Ｍａｔｓｕｏｋａ算子Ｊ_{ｎ，ｐ，ｑ}（ｆ；ｘ）逼近函数（∈Ｂ_２ｎ）的逼近度关于准左、右导数及二阶准左、右导数的渐近表示式．

英文摘要:

      We obtain the asymptotic representation of the approximate degree for the Matsuokaoperator,J_n,p,q(f,x)on f(x), where f(x)is assumed to have the left, right pre-derivate f′_-(x),f′₊(x)and the left,right per-derivate of the second order f″_-),f″₊(x)at x.