The Approximation of Hermite Interpolation on the Weighted Mean Norm

Xin Wang¹, Chong Hu², Xiuxiu Ma³

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.

DOI: 10.4236/ajcm.2015.53033                

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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