Geodesic
Wavelet thresholding estimator on $B_{p,q}^s(\mathbb{R}^n)$
Zhao, Junjian 1 ; Zhuang, Zhitao 2
1 Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin 300387, China
2 School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 12, p. 6149-6158.

Voir la notice de l'article provenant de la source International Scientific Research Publications

This paper deals with the convergence of the wavelet thresholding estimator on Besov spaces $B_{p,q}^s(\mathbb{R}^n)$. We show firstly the equivalence of several Besov norms. It seems different with one dimensional case. Then we provide two convergence theorems for the wavelet thresholding estimator, which extend Liu and Wang's work [Y.-M. Liu, H.-Y. Wang, Appl. Comput. Harmon. Anal., ${\bf 32}$ (2012), 342--356].
DOI : 10.22436/jnsa.010.12.02
Classification : 42C40, 35Q30, 41A15
Keywords: Wavelet thresholding estimator, Besov spaces, convergence

Zhao, Junjian  1 ; Zhuang, Zhitao  2

1 Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin 300387, China
2 School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, China 
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Zhao, Junjian ; Zhuang, Zhitao . Wavelet thresholding estimator on \(B_{p,q}^s(\mathbb{R}^n)\). Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 12, p. 6149-6158. doi : 10.22436/jnsa.010.12.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.12.02/

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