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On Configurations of Points on the Sphere and Applications to Approximation of Holomorphic Functions by Lagrange Interpolants

On Configurations of Points on the Sphere and Applications to Approximation of Holomorphic... We study certain configurations of points on the unit sphere in $$\mathbb {R}^N$$ R N . As an application, we prove that the sequence of Lagrange interpolation polynomials of holomorphic functions at certain Chung–Yao lattices converge uniformly to the interpolated functions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

On Configurations of Points on the Sphere and Applications to Approximation of Holomorphic Functions by Lagrange Interpolants

Computational Methods and Function Theory , Volume 15 (3) – Jan 29, 2015

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-015-0106-2
Publisher site
See Article on Publisher Site

Abstract

We study certain configurations of points on the unit sphere in $$\mathbb {R}^N$$ R N . As an application, we prove that the sequence of Lagrange interpolation polynomials of holomorphic functions at certain Chung–Yao lattices converge uniformly to the interpolated functions.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jan 29, 2015

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