Barycentric Rational Interpolation Based on Lebesgue Constant Minimum Level Preserving Asymptote
In this paper,a barycentric rational interpolation method with horizontal asymptotes is pro-posed.Firstly,the condition of level preserving asymptotes is studied for BRI.Secondly,an optimal weights optimization model is constructed by using the minimum Lebesgue constant as the objective function.The constraint conditions of optimization model of the BRI include no pole,no inaccessible point,the interpolation function level preserving asymptotes,and the normalization of barycentric weights.Finally,the barycentric rational interpolation with horizontal-preserving asymptotes is ob-tained.The effectiveness of the algorithm is proved by numerical examples.
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