On the Divergence Phenomenon in Hermite–Fejér Interpolation
نویسندگان
چکیده
منابع مشابه
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چکیده ندارد.
On the Divergence of Polynomial Interpolation in the Complex Plane
We extend the results in [1] and [2] from the divergence of Hermite–Fejér interpolation in the complex plane to the divergence of arbitrary polynomial interpolation in the complex plane. In particular, we prove the following theorem: Let 1n = −1 ≤ t (n) 1 < · · · < t (n) n < 1. Let φ k be polynomials of arbitrary degree such that φ k (t (n) j ) = δk j . Then the Lebesgue function3n(x) = ∑n j=1 ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2000
ISSN: 0021-9045
DOI: 10.1006/jath.2000.3466