Author(s)

Jiao Fang, Yi Zhao, Guojing Hai

Department of Mathematics, Hangzhou Normal University, Hangzhou, China.

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.

Newman Type Rational Operator, Logarithmic, Nodes, Approximation Order

Fang, J. , Zhao, Y. and Hai, G. (2021) Rational Approximation to |x| at Logarithmic Nodes. Advances in Pure Mathematics, 11, 19-26. doi: 10.4236/apm.2021.111003.