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Mathematics of Computation

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Bi-variate, rectangular, optimum-interval interpolation

Author: Ferdinand Freudenstein
Journal: Math. Comp. 15 (1961), 288-291
MSC: Primary 65.20
MathSciNet review: 0129532
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References [Enhancements On Off] (What's this?)

  • [1] J. F. Steffensen, Interpolation, The William and Wilkins Co., Baltimore, Md. 1927 (p. 206, eq. 13). Reprint available from Chelsea Publishing Co. Formula goes back to S. Narumi, The Tohoku Math. J. v. 18, 1920, p. 313. MR 0036799 (12:164d)
  • [2] N. I. Achieser, translated by Charles J. Hyman, Theory of Approximation, F. Ungar Publishing Co., New York, 1956; in particular p. 55-60 on Chebyshev theory. MR 0095369 (20:1872)
  • [3] O. Biermann, Vorlesungen Ueber Mathematische Naeherungsmethoden, F. Vieweg und Sohn Verlag, Braunschweig, Germany, 1905; in particular p. 138-146 on interpolation involving two variables.
  • [4] F. B. Hildebrand, Introduction to Numerical Analysis, McGraw-Hill Book Co., New York, 1956; in particular p. 279-282, 386-391 on Chebyshev polynomials. MR 0075670 (17:788d)
  • [5] K. S. Kunz, Numerical Analysis, McGraw-Hill Book Co., New York, 1957; in particular, Chapter 11, p. 248-274 on interpolation in tables of two or more variables, and equation (11.60) on page 269. MR 0088045 (19:460c)

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Article copyright: © Copyright 1961 American Mathematical Society

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