| Autor: |
Shouzhi Yang, Huiqing Huang |
| Jazyk: |
angličtina |
| Rok vydání: |
2017 |
| Předmět: |
|
| Zdroj: |
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-13 (2017) |
| Druh dokumentu: |
article |
| ISSN: |
1029-242X |
| DOI: |
10.1186/s13660-017-1425-9 |
| Popis: |
Abstract A novel construction of compactly supported orthogonal scaling functions and wavelets with spline functions is presented in this paper. Let M n $M_{n}$ be the center B-spline of order n, except for the case of order one, we know M n $M_{n}$ is not orthogonal. But by the formula of orthonormalization procedure, we can construct an orthogonal scaling function corresponding to M n $M_{n}$ . However, unlike M n $M_{n}$ itself, this scaling function no longer has compact support. To induce the orthogonality while keeping the compact support of M n $M_{n}$ , we put forward a simple, yet efficient construction method that uses the formula of orthonormalization procedure and the weighted average method to construct the two-scale symbol of some compactly supported orthogonal scaling functions. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
