【摘要】 考虑Newman-α型有理算子逼近|x|~α(1≤α<2)的收敛速度,结点组取等距结点,得到确切的逼近阶为O(1/n~αlogn),这个结果优于|x|~α的Lagrange插值逼近.更多还原

【Abstract】 The rate of convergence that Newman-αtype rational operator approximates to |x|~α(1≤α<2) is discussed based on the equidistant notes in this paper.It is obtained in this case that the exact order of approximation is O(1/n~αlogn),which is better than the Lagrange interpolation polynomial of |x|~α.更多还原