A Note on Some Approximation Kernels on the Sphere

2017/06/28 by Peter J. Grabner, Grabner, Peter J.
Mathematics · #41A36 42C05 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1706.09456

openalex publication_date 2017/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We produce precise estimates for the Kogbetliantz kernel for the approximation of functions on the sphere. Furthermore, we propose and study a new approximation kernel, which has slightly better properties.

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