Hermite-Fejer插值算子的加权L_2收敛速度

Rate of weighted L_2 convergence of Hermite-Fejer interpolatory operators

讨论了以第二类 Chebyshev多项式的零点为插值结点组的 Hermite-Fejer插值算子的加权 L2 下的收敛速度 (权函数φ(x) =(1 -x2 )α,α≥ 0 ) ,并证明了此时的估计阶是精确的 .

The weighted L\-2 -convergence properities of the Hermite-Fejer process based on the second kind Chebyshev nodes are discussed. An accurate bound of its convergence rate is given.