Polynomial Interpolation on the Unit Sphere and Some Properties of Its Integral Means

Authors: Phùng Văn Mạnh, Nguyễn Văn Khiêm,

https://www.pmf.ni.ac.rs/filomat-content/2019/33-15/33-15-1-10966.pdf

Publisher, magazine: ,

Publication year: 2019

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Abstract

We study Hermite interpolation on the unit sphere. We give poised Hermite schemes on parallel circles with odd and even number of points on each circle. We also prove continuity and convergence properties of integral means of Hermite interpolation polynomials.

Tags: Interpolation on the sphere; Continuity properties; Convergence propertie