Zhejiang Daxue xuebao. Lixue ban (May 2022)

Convergence of second derivative of a family of barycentric Hermite rational interpolants(一类重心权Hermite有理插值的二阶导数收敛性)

  • KANGNing(康宁),
  • JINGKe(荆科)

DOI
https://doi.org/10.3785/j.issn.1008-9497.2022.03.009
Journal volume & issue
Vol. 49, no. 3
pp. 324 – 328

Abstract

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研究了一类特殊情形(m=1)的重心权Hermite有理插值，证明了该插值函数的二阶导数在插值节点和非插值节点处分别以O(h2d-1)和O(h2d-3)的速度收敛于函数f″(x)。数值例子进一步验证了方法的有效性。

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