Acta mathematica scientia,Series B ›› 1994, Vol. 14 ›› Issue (1): 9-18.
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Shi Yingguang
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Abstract: 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, whereα0=[((196s4-20s4-35s2+30s+9)(1)/2-(10s2+11s+3))]/[6s(2s+1)].
Shi Yingguang. COMPARISON OF LAGRANGE INTERPOLATION AND HERMITE-FEJER TYPE INTERPOLATION OF HIGHER ORDER[J].Acta mathematica scientia,Series B, 1994, 14(1): 9-18.
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