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- 2017
基于第四类Chebyshev多项式零点的Lagrange插值多项式逼近
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Abstract:
摘要： 给出了最大框架下基于第四类Chebyshev结点组的Lagrange插值多项式在最大范数下逼近一类解析函数时的精确误差。又针对Lp(p>1)范数,给出了插值函数对该类解析函数类的逼近误差的强渐近阶。
Abstract: This paper first provides the exact approximation errors for an analytic function class under the maximum norm based on the Lagrange interpolation polynomials with the fourth Chebyshev nodes in the worst setting. As for the norm of Lp(p>1), the corresponding strong asymptotic order for that kind of analytic function class is obtained
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