The paper utilizes polynomial reproducibility and local support to modify the famous Catmull Rom interpolation basis function,obtaining new interpolation basis functions,generating new interpolation operators,and also obtaining the precise Lebesgue constant of the new interpolation operator.The convergence speed of the new interpolation operator approaching continuous functions is estimated,and both theoretical and numerical examples show that the approximation effect of the new interpolation operator is better than other types of interpolation operators.
关键词
插值/连续模/逼近误差/Lebesgue常数/基函数
Key words
interpolation/modulus of continuity/approximation error/Lebesgue constant/basis functions
维普
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