Grünwald插值算子的加权L_1收敛速度

Rate of Weighted L_1 Convergence of Grünwald Interpolatory Operators

给出以第一类Chebyshev多项式的零点为插值结点组的Gr櫣ｎｗａｌｄ插值多项式Ｇｎ( f,x)的加权L1收敛速度估计 ,并证明了此时的估计阶是精确的 .

This paper gives the weighted \%L\%\-1 convergence rate estimations of the Grünwald interpolatory polynomials based on the zeroes of Chebyshev polynomials of the first kind,and proves that the order of estimations is optimal.