Rapid Computation of General Interpolation
Formulas and Mechanical Quadrature Rules

Let f have n continuous on a closed interval
[a,b] and let L be a linear functional.  The attempt 
is made to approximate L (f) with L (Q) where Q is a polynomial,
approximating f.  Algorithms are developed 
for rapid computation of L (Q) for a wide class of
selections of Q which includes the Lagrangian and 
Hermitian rules as special cases.

CACM December, 1971

Gustafson, S.

linear functionals, divided differences, Newton's interpolation formula

5.13 5.16

CA711208 JB February 2, 1978  9:49 AM

2135	4	2135
2135	4	2135
2131	5	2135
2135	5	2135
2135	5	2135
2135	5	2135
2132	5	2135
2135	6	2135
2135	6	2135