proof of uniqueness of Lagrange Interpolation formula
Existence is clear from the construction, the uniqueness is proved by assuming there are two different polynomials and that interpolate the points. Then has zeros, and there is a point such that . is non-constant with degree and has more than solutions, which is a contradiction. Thus there can only be one polynomial.
|Title||proof of uniqueness of Lagrange Interpolation formula|
|Date of creation||2013-03-22 14:09:25|
|Last modified on||2013-03-22 14:09:25|
|Last modified by||rspuzio (6075)|