Dictionary:Newtonian interpolation

From SEG Wiki
Revision as of 18:25, 8 March 2018 by Dariocantub (talk | contribs) (Marked this version for translation)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
Other languages:
English • ‎español

For a function known at regularly spaced points, yn=f(xo+nh), the value at yu=f(xo+uh) can be approximated by a series for which the kth term is u(u–1)...(ukkyo/k!, where Δ is the forward difference operator. A similar relationship can be used for backward prediction, its kth term being u(u+1)...(u+kkyo/k!.