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Zeitschrift für Analysis und ihre Anwendungen


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Volume 37, Issue 3, 2018, pp. 251–268
DOI: 10.4171/ZAA/1612

Published online: 2018-07-04

Continuity and Convergence Properties of Integral Means of Bojanov–Xu Interpolation

Van Manh Phung[1]

(1) Hanoi National University of Education, Vietnam

We study Bojanov-Xu interpolation whose interpolation points are located on concentric circles in $\mathbb R^2$. 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.

Keywords: Bojanov–Xu interpolation, Hermite interpolation, continuity properties, convergence properties

Phung Van Manh: Continuity and Convergence Properties of Integral Means of Bojanov–Xu Interpolation. Z. Anal. Anwend. 37 (2018), 251-268. doi: 10.4171/ZAA/1612