An extension of Bittner and Urban’s theorem
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- by Youming Liu and Junjian Zhao PDF
- Math. Comp. 82 (2013), 401-411 Request permission
Abstract:
A class of Besov spaces are characterized by the quadratic and cubic Hermite multiwavelets (K. Bittner and K. Urban, On interpolatory divergence-free wavelets, Math. Comp., 76 (2007), 903-929). That characterization has a limitation, because of the regularity restriction of the Hermite splines. In this paper, we extend Bittner and Urban’s theorem by using B-spline wavelets with weak duals introduced in the paper: R. Q. Jia, J. Z. Wang and D. X. Zhou, Compactly supported wavelet bases for Sobolev spaces, Appl. Comput. Harmon. Anal., 15 (2003), 224-241.References
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Additional Information
- Youming Liu
- Affiliation: Department of Applied Mathematics, Beijing University of Technology, Pingle Yuan 100, Beijing 100124, People’s Republic of China
- Email: liuym@bjut.edu.cn
- Junjian Zhao
- Affiliation: Department of Mathematics, Tianjin Polytechnic University, 63 Chenglin Street, Hedong District, Tianjin 300160, People’s Republic of China
- Email: zhaojunjian@emails.bjut.edu.cn
- Received by editor(s): August 11, 2009
- Received by editor(s) in revised form: July 18, 2011
- Published electronically: June 5, 2012
- Additional Notes: This work is supported by the National Natural Science Foundation of China (No. 10871012) and the Natural Science Foundation of Beijing (No. 1082003).
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 82 (2013), 401-411
- MSC (2010): Primary 42C40, 35Q30, 41A15
- DOI: https://doi.org/10.1090/S0025-5718-2012-02592-0
- MathSciNet review: 2983029