Biorthogonal Wavelet on a Logarithm Curve ℂ
According to the length-preserving projection and Euler discretization method, biorthogonal wavelet function on a smooth curve C is constructed in this paper, such as a logarithm curve. The properties of biorthogonal wavelet filters on a smooth curve C are discussed, such as induced refinable equati...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7985069 |
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| _version_ | 1832547051898929152 |
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| author | Xiaohui Zhou Gang Wang |
| author_facet | Xiaohui Zhou Gang Wang |
| author_sort | Xiaohui Zhou |
| collection | DOAJ |
| description | According to the length-preserving projection and Euler discretization method, biorthogonal wavelet function on a smooth curve C is constructed in this paper, such as a logarithm curve. The properties of biorthogonal wavelet filters on a smooth curve C are discussed, such as induced refinable equation and symmetry. Moreover, an example is given for discussing the biorthogonal scaling function and its dual on a logarithm curve C. Finally, a numerical application is given for dealing with financial data. |
| format | Article |
| id | doaj-art-f0500100e3bd4f84b90851282fa8b33b |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f0500100e3bd4f84b90851282fa8b33b2025-02-03T06:46:15ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/79850697985069Biorthogonal Wavelet on a Logarithm Curve ℂXiaohui Zhou0Gang Wang1School of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, ChinaSchool of Mathematics Science, Xinjiang Normal University, Urumqi, Xinjiang 830054, ChinaAccording to the length-preserving projection and Euler discretization method, biorthogonal wavelet function on a smooth curve C is constructed in this paper, such as a logarithm curve. The properties of biorthogonal wavelet filters on a smooth curve C are discussed, such as induced refinable equation and symmetry. Moreover, an example is given for discussing the biorthogonal scaling function and its dual on a logarithm curve C. Finally, a numerical application is given for dealing with financial data.http://dx.doi.org/10.1155/2021/7985069 |
| spellingShingle | Xiaohui Zhou Gang Wang Biorthogonal Wavelet on a Logarithm Curve ℂ Journal of Mathematics |
| title | Biorthogonal Wavelet on a Logarithm Curve ℂ |
| title_full | Biorthogonal Wavelet on a Logarithm Curve ℂ |
| title_fullStr | Biorthogonal Wavelet on a Logarithm Curve ℂ |
| title_full_unstemmed | Biorthogonal Wavelet on a Logarithm Curve ℂ |
| title_short | Biorthogonal Wavelet on a Logarithm Curve ℂ |
| title_sort | biorthogonal wavelet on a logarithm curve c |
| url | http://dx.doi.org/10.1155/2021/7985069 |
| work_keys_str_mv | AT xiaohuizhou biorthogonalwaveletonalogarithmcurvec AT gangwang biorthogonalwaveletonalogarithmcurvec |