## Newton's Divided Difference Interpolation Formula

Let

 (1)

then
 (2)

where is a Divided Difference, and the remainder is
 (3)

for .

See also Divided Difference, Finite Difference

References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 880, 1972.

Hildebrand, F. B. Introduction to Numerical Analysis. New York: McGraw-Hill, pp.43-44 and 62-63, 1956.

© 1996-9 Eric W. Weisstein
1999-05-25