A note on the norm of an algorithm for reconstruction from Radon data on the ball

JOURNAL OF APPROXIMATION THEORY

卷:210

Article

Zhang, Xiaoliang¹  Li, Zhongkai² 

[1] Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

关键词: Radon transform;    Algorithm;    Orthogonal expansion;    Gegenbauer polynomial;   

DOI  :  10.1016/j.jat.2016.06.003

来源: Elsevier

【 摘 要 】

A lower bound of the norm of Xu's algorithm, as a sequence of operators, for the Radon transform based on orthogonal expansions on the unit ball is obtained, which, in conjunction with the known upper bound, gives the exact estimate for the norm of the algorithm. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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