Zhan, Q. and Xu, S.S. (2015) The Newman Rational Interpolating Approximation Based on a New Set of Nodes. Journal of Anhui University of Science and Technology (Natural Science), 35, 83-86.

has been cited by the following article:

• TITLE: Rational Approximation to |x| at Logarithmic Nodes

  AUTHORS: Jiao Fang, Yi Zhao, Guojing Hai

  KEYWORDS: Newman Type Rational Operator, Logarithmic, Nodes, Approximation Order

  JOURNAL NAME: Advances in Pure Mathematics, Vol.11 No.1, January 21, 2021

  ABSTRACT: Based on a node group , the Newman type rational operator is constructed in the paper. The convergence rate of approximation to a class of non-smooth functions is discussed, which is regarding to X. Moreover, if the operator is constructed based on further subdivision nodes, the convergence rate is . The result in this paper is superior to the approximation results based on equidistant nodes, Chebyshev nodes of the first kind and Chebyshev nodes of the second kind.