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Remark on a paper by Huddleston

Author: Gerhard Merz
Journal: Math. Comp. 26 (1972), 901-902
MSC: Primary 65D99; Secondary 26A75
Original Article: Math. Comp. 25 (1971), 553-558.
MathSciNet review: 0314248
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Abstract: Using a function-theoretic approach, we obtain, in a quite simple way, linear relations between the values of a function and its first derivatives at $ n$ abscissa points $ {x_1}$. The derivation of these formulae in a recent paper by Huddleston was rather cumbersome. Possible generalizations are indicated.

References [Enhancements On Off] (What's this?)

  • [1] R. E. Huddleston, ``Some relations between the values of a function and its first derivative at $ n$ abscissa points,'' Math. Comp., v. 25, 1971, pp. 553-558. MR 0297097 (45:6155)
  • [2] N. E. Nörlund, Vorlesungen über Differenzenrechnung, Springer-Verlag, Berlin, 1924.

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Keywords: Polynomials, error estimation
Article copyright: © Copyright 1972 American Mathematical Society

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