The Approximation of Hermite Interpolation on the Weighted Mean Norm - American Journal of Computational Mathematics

AJCM > Vol.5 No.3, September 2015

The Approximation of Hermite Interpolation on the Weighted Mean Norm ()

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DOI: 10.4236/ajcm.2015.53033 4,634 Downloads 5,487 Views

Author(s)

Xin Wang¹, Chong Hu², Xiuxiu Ma³

Affiliation(s)

¹Department of Mathematics and Computer, Baoding University, Baoding, China.
²Institute of Nuclear Technology, China Institute of Atomic Energy, Beijing, China.
³Institute of Mathematical, North China Electric Power University, Baoding, China.

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.

KEYWORDS

Hermite Interpolation operator，Chebyshev polynomial，derivative approximation

Share and Cite:

Wang, X. , Hu, C. and Ma, X. (2015) The Approximation of Hermite Interpolation on the Weighted Mean Norm. American Journal of Computational Mathematics, 5, 387-392. doi: 10.4236/ajcm.2015.53033.

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