On Hermite-Fejér type interpolation
1983 ◽
Vol 28
(1)
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pp. 39-51
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For the Hermite-Fejér interpolation operator of higher order constructed on the roots , 1 ≤ k ≤ m, of the Jacobi-polynomial it is shown that is positive for all m ∈ N, if (α, β) ∈ [−¾, −¼]2. Further there is given an bound, which implies for arbitrary f ∈ C(I) and (α, β) ∈ [−¾, −¼]2.
1999 ◽
Vol 14
(3)
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pp. 273-282
1987 ◽
Vol 18
(4)
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pp. 279-286
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1986 ◽
Vol 17
(4)
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pp. 321-326
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2000 ◽
Vol 102
(2)
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pp. 325-340
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