Weighted Approximation by Hight Order Interpolation in Lwp Space |
Received:January 22, 1997 |
Key Words:
Hermite-Fejer interpolation Hermite interpolation approximation order.
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Abstract: |
The paper gives a new way of constructing Hermite-Fejer and Hermite interpolatory polynomials with the nodes of the roots of first kind of Chebyshev polynomials and gives the approximation order of these two kinds of operators. The approximation orders are described with the best rate of approximation of f by polynomials of degree ≤N=(q+1)n-1 in Lwp spaces. |
Citation: |
DOI:10.3770/j.issn:1000-341X.1999.05.005 |
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