2135	 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. linear functionals divided differences Newton s interpolation formula
