The Asymptotic Representation of the Approximate Degree for the Matsuoka Operator

Abstract:

      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.