Tag Archives: Smooth Functions

ON THE CONVERGENCE OF LAGRANGE’S INTERPOLATING POLYNOMIAL OF SMOOTH FUNCTIONS (Published)

Considering the Lagrange interpolating polynomial Ln-1(f, x) of a given function defined on a uniform partition with a given mesh, we shall show in the present paper that  Ln-1(f, x) does not converge to the function which has nice mathematical properties of approximation.

Keywords: Lagrange’s Interpolating Polynomial, Smooth Functions