Abstract
In a letter to Leibniz, dated October 24, 1676, Newton alluded to his “expeditious method of passing a parabolic curve through given points”. The meaning attached to these words was that he could construct explicitly the algebraic polynomial of arbitrary degree n which assumes preassigned values f 0,..., f n at given points x 0 < ... < x n . Newton described this method in 1687 in the third book of his famous “Principia”. This is the way classical interpolation theory was born.
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© 1993 Springer Science+Business Media Dordrecht
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Bojanov, B.D., Hakopian, H.A., Sahakian, A.A. (1993). Interpolation by Algebraic Polynomials. In: Spline Functions and Multivariate Interpolations. Mathematics and Its Applications, vol 248. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8169-1_1
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DOI: https://doi.org/10.1007/978-94-015-8169-1_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4259-0
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