Everywhere divergent extended Hermite - Fejer interpolation process
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Keywords:
Interpolation; Polynomial interpolation; Lagrange interpolation polynomial; Legendre polynomialAbstract
The purpose of this paper is to construct a polynomial of different degree with some conditions in the interval I = [−1,1] by using Hermite - Fejer interpolation polynomial (HFI) of degree at most (4n −1) that agree with f C[1,1] and has zero derivative at each nodes. Also, we investigate all extensions of (HFI) on (−1,1) which are divergent everywhere.
Mathematics Subject Classification (2010):41A05, 41A10
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