数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (1): 9-18.
史应光
Shi Yingguang
摘要: In this paper the following theorem (see[1, Problem 24 of P. Turan]) is given:If the Hermite-Fejer type interpolation process of order s ≥ 4, even, converges for any f ∈ Cs-2[-1, 1] then the Lagrange interpolation process defined on the same nodes converges for f' ∈Lipα with α > α0, where
α0=[((196s4-20s4-35s2+30s+9)(1)/2-(10s2+11s+3))]/[6s(2s+1)].