Some Properties of Fractional Boas Transforms of Wavelets
In this paper, we introduce fractional Boas transforms and discuss some of their properties. We also introduce the notion of wavelets associated with fractional Boas transforms and give some results related to their vanishing moments. Finally, a comparative study of Hilbert transforms and fractional...
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| Main Authors: | , , , |
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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/10.1155/2021/6689779 |
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| _version_ | 1832546829071286272 |
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| author | Nikhil Khanna A. Zothansanga S. K. Kaushik Dilip Kumar |
| author_facet | Nikhil Khanna A. Zothansanga S. K. Kaushik Dilip Kumar |
| author_sort | Nikhil Khanna |
| collection | DOAJ |
| description | In this paper, we introduce fractional Boas transforms and discuss some of their properties. We also introduce the notion of wavelets associated with fractional Boas transforms and give some results related to their vanishing moments. Finally, a comparative study of Hilbert transforms and fractional Boas transforms is done. |
| format | Article |
| id | doaj-art-af17eae8870341628aaa5999bcb62638 |
| 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-af17eae8870341628aaa5999bcb626382025-02-03T06:47:04ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66897796689779Some Properties of Fractional Boas Transforms of WaveletsNikhil Khanna0A. Zothansanga1S. K. Kaushik2Dilip Kumar3Department of Mathematics, Motilal Nehru College, University of Delhi, Delhi 110021, IndiaDepartment of Mathematics, University of Delhi, Delhi-110007, IndiaDepartment of Mathematics, Kirori Mal College, University of Delhi, Delhi-110007, IndiaDepartment of Mathematics, University of Delhi, Delhi-110007, IndiaIn this paper, we introduce fractional Boas transforms and discuss some of their properties. We also introduce the notion of wavelets associated with fractional Boas transforms and give some results related to their vanishing moments. Finally, a comparative study of Hilbert transforms and fractional Boas transforms is done.http://dx.doi.org/10.1155/2021/6689779 |
| spellingShingle | Nikhil Khanna A. Zothansanga S. K. Kaushik Dilip Kumar Some Properties of Fractional Boas Transforms of Wavelets Journal of Mathematics |
| title | Some Properties of Fractional Boas Transforms of Wavelets |
| title_full | Some Properties of Fractional Boas Transforms of Wavelets |
| title_fullStr | Some Properties of Fractional Boas Transforms of Wavelets |
| title_full_unstemmed | Some Properties of Fractional Boas Transforms of Wavelets |
| title_short | Some Properties of Fractional Boas Transforms of Wavelets |
| title_sort | some properties of fractional boas transforms of wavelets |
| url | http://dx.doi.org/10.1155/2021/6689779 |
| work_keys_str_mv | AT nikhilkhanna somepropertiesoffractionalboastransformsofwavelets AT azothansanga somepropertiesoffractionalboastransformsofwavelets AT skkaushik somepropertiesoffractionalboastransformsofwavelets AT dilipkumar somepropertiesoffractionalboastransformsofwavelets |