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The function f(x) is approximated by interpolation function f n(x)=a cos kx+b sin kx+∑n-1i=0[c ih i(x)+ i i(x)] such that f(x i)=f n(x i) and f′(x i)=f′ n(x i) (i=0,1,…,n). f n(x) is proved to be unique and is tending to Hermite interpolation polynomials H 2n+1 (f,x) as the parameter k→0 . The error term is also discussed, and as an application, a class of extended linear multistep methods of Adams' type for equidistant point are established.
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Basic Information:
China Classification Code:O174
Citation Information:
[1]LU Jian fang 1, DAI Ning 2 (1.College of Basic Course, Zhejiang University of Technology, Hangzhou 310032, 2.Department of System Science & Mathematics, Zhengzhou University, Zhengzhou 450052).Algebraic-Trigonometric Mixed Hermite Interpolation and the Error Estimation[J].Journal of Zhengzhou University(Natural Science Edition),2000(01):26-29.
2000-03-20
2000-03-20