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The Approximation of Hermite Interpolation on the Weighted Mean Norm
Department of Mathematics and Computer, Baoding University, Baoding, China
Institute of Nuclear Technology, China Institute of Atomic Energy, Beijing, China
Institute of Mathematical, North China Electric Power University, Baoding, China
- 1 Department of Mathematics and Computer, Baoding University, Baoding, China
- 2 Institute of Nuclear Technology, China Institute of Atomic Energy, Beijing, China
- 3 Institute of Mathematical, North China Electric Power University, Baoding, China
American Journal of Computational Mathematics·Volume 05 (2015)·Pages 387–392·Published 20 August 2015·DOI10.4236/ajcm.2015.53033
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Abstract
We research the simultaneous approximation problem of the higher-order Hermite interpolation based on the zeros of the second Chebyshev polynomials under weighted Lp-norm. The estimation is sharp.
KeywordsHermite Interpolation operator，Chebyshev polynomial，derivative approximation
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