Continuity and Convergence Properties of Integral Means of Bojanov–Xu Interpolation
Van Manh Phung
Hanoi National University of Education, Vietnam
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Abstract
We study Bojanov-Xu interpolation whose interpolation points are located on concentric circles in . We prove that the integral means of the interpolation polynomial over a fixed circle or a fixed annulus are continuous functions of the radii of circles. We also give a distribution of the radii such that the integral means are convergent.
Cite this article
Van Manh Phung, Continuity and Convergence Properties of Integral Means of Bojanov–Xu Interpolation. Z. Anal. Anwend. 37 (2018), no. 3, pp. 251–268
DOI 10.4171/ZAA/1612