(0,1;0)-Interpolation on infinite interval (−∞, +∞)
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In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤3n −2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and H n ′ (x) and the first derivatives at the zeros of H n ′ (x).
Key wordsinterpolation Hermite polynomials convergence
AMS(2000) subject classification41A05
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