Chebyshev Wavelet Analysis
This paper deals with Chebyshev wavelets. We analyze their properties computing their Fourier transform. Moreover, we discuss the differential properties of Chebyshev wavelets due to the connection coefficients. Uniform convergence of Chebyshev wavelets and their approximation error allow us to prov...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/5542054 |
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| _version_ | 1832544087406804992 |
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| author | Emanuel Guariglia Rodrigo Capobianco Guido |
| author_facet | Emanuel Guariglia Rodrigo Capobianco Guido |
| author_sort | Emanuel Guariglia |
| collection | DOAJ |
| description | This paper deals with Chebyshev wavelets. We analyze their properties computing their Fourier transform. Moreover, we discuss the differential properties of Chebyshev wavelets due to the connection coefficients. Uniform convergence of Chebyshev wavelets and their approximation error allow us to provide rigorous proofs. In particular, we expand the mother wavelet in Taylor series with an application both in fractional calculus and fractal geometry. Finally, we give two examples concerning the main properties proved. |
| format | Article |
| id | doaj-art-d70fddabce5f4202a01902a3b36f229f |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d70fddabce5f4202a01902a3b36f229f2025-02-03T10:59:55ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5542054Chebyshev Wavelet AnalysisEmanuel Guariglia0Rodrigo Capobianco Guido1Institute of BiosciencesInstitute of BiosciencesThis paper deals with Chebyshev wavelets. We analyze their properties computing their Fourier transform. Moreover, we discuss the differential properties of Chebyshev wavelets due to the connection coefficients. Uniform convergence of Chebyshev wavelets and their approximation error allow us to provide rigorous proofs. In particular, we expand the mother wavelet in Taylor series with an application both in fractional calculus and fractal geometry. Finally, we give two examples concerning the main properties proved.http://dx.doi.org/10.1155/2022/5542054 |
| spellingShingle | Emanuel Guariglia Rodrigo Capobianco Guido Chebyshev Wavelet Analysis Journal of Function Spaces |
| title | Chebyshev Wavelet Analysis |
| title_full | Chebyshev Wavelet Analysis |
| title_fullStr | Chebyshev Wavelet Analysis |
| title_full_unstemmed | Chebyshev Wavelet Analysis |
| title_short | Chebyshev Wavelet Analysis |
| title_sort | chebyshev wavelet analysis |
| url | http://dx.doi.org/10.1155/2022/5542054 |
| work_keys_str_mv | AT emanuelguariglia chebyshevwaveletanalysis AT rodrigocapobiancoguido chebyshevwaveletanalysis |