Orders of the mean approximation by the interpolation of (0-\(q'\)-\(q)\) type at disturbed Chebyshev nodes
In a recent paper the authors studied the common Hermite-Fejer interpolation for function in \(C^ r[-1,1]\), \(r\geq 0\) [see, \textit{Z. Y. Wang} and \textit{X. C. Shen}, Weighted \(L^ p\)-approximation by the modified higher order Hermite-Fejer interpolation, to appear in Adv. Math.]. They gave some results on the orders of the weighted \(L^ p\)- approximation which are extension of corresponding results of \textit{A. K. Varma} and \textit{J. Prasad} [J. Approximation Theory 56, 225-242 (1989; Zbl 0675.41014)]. In this paper they study the corresponding problem involving interpolation of \((0-q'-q)\) type at disturbed Chebyshev nodes. The situations for the approximation of the derivatives are considered as well.
scientific article; zbMATH DE number 148466