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HERMITE-FEJER TYPE INTERPOLATION OF HIGHER ORDER 被引量:1

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摘要 The paperintroduces Herm ite-Fejértype(Herm ite type) interpolation ofhigherorder denoted by Smn (f)(Sm n(f)), and gives som e basic properties including expression form ulas, convergence relationship betw een Sm n(f) and Hmn(f) (Herm ite-Fejérinterpolation ofhigheror- der), and the saturation ofSmn(f). The paperintroduces Herm ite-Fejértype(Herm ite type) interpolation ofhigherorder denoted by Smn (f)(Sm n(f)), and gives som e basic properties including expression form ulas, convergence relationship betw een Sm n(f) and Hmn(f) (Herm ite-Fejérinterpolation ofhigheror- der), and the saturation ofSmn(f).
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1999年第3期273-282,共10页 高校应用数学学报(英文版)(B辑)
关键词 Herm ite-Fejér type interpolation CONVERGENCE SATURATION Herm ite-Fejér type interpolation,convergence,saturation
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参考文献4

  • 1Ying Guang Shi. A theorem of Grünwald-type for Hermite-Fejér interpolation of higher order[J] 1994,Constructive Approximation(4):439~450
  • 2J. Szabados. On the order of magnitude of fundamental polynomials of hermite interpolation[J] 1993,Acta Mathematica Hungarica(3-4):357~368
  • 3Shi Yingguang. Some notes on Hermite-Fejer type interpolation[J] 1991,Approximation Theory and its Applications(4):28~39
  • 4P. Vértesi. Hermite-Fejér interpolations of higher order. I[J] 1989,Acta Mathematica Hungarica(1-2):135~152

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