Interpolation formula with example

- 2021. 9. 27. · the Newton form of the interpolating polynomial Often we have data collected from some difﬁcult function f(x). With
**interpolation**we can represent the data by a polynomial . Input: (xi;fi = f(xi)), i = 0;1;:::;n, n +1 data points, xi 6= xj, for all i 6= j, distinct values for x. Output: p(x) a polynomial of degree at most n so that. InterpolatingPolynomial gives the interpolating - Stirling Approximation or Stirling
**Interpolation****Formula**is an**interpolation**technique, which is used to obtain the value of a function at an intermediate point within the range of a discrete set of known data points . ... For**example**, one verifies that n 2 ∼ (n + 1)2 and √ 1 + n ∼ √ n. ... - Solution: Given the known values are, x = 4 ; x 1 = 2 ; x 2 = 6 ; y 1 = 4 ; y 2 = 7. The
**interpolation****formula**is, y =. +. y = 4 +. y = 4 +. y =. - Lagrange's
**interpolation****formula**is also known as Lagrange's interpolating polynomial. Archer (2018) suggests it was published by Waring prior to Lagrange. It was originally used to interpolate an unknown value of a smooth function, given n known values, by assuming that the function could be approximated by a polynomial of degree - 1. ...