Continuity and convergence properties of integral means of Bojanov-Xu interpolation
type: Item
instance of: scholarly article
title: Continuity and convergence properties of integral means of Bojanov-Xu interpolation
zbMATH Open document ID: 1393.41001
DOI: 10.4171/ZAA/1612
author: Van Manh Phung
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2018-08-10T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 6915998
zbMATH Keywords: Bojanov-Xu interpolation
zbMATH Keywords: Hermite interpolation
zbMATH Keywords: continuity properties
zbMATH Keywords: convergence properties
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/1612
OpenAlex ID: W2811388037
description: scientific article; zbMATH DE number 6915998